Index

_

__init__() (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule method) (uconf.algebraic.free_algebra.FreeAlgebraModule method) (uconf.core.component.ComponentProtocol method) (uconf.models.associative.Associative method) (uconf.models.barratt_eccles.BarrattEccles method) (uconf.models.commutative.Commutative method) (uconf.models.lie.Lie method) (uconf.models.surjection.Surjection method) (uconf.models.surjection_dual.SurjectionDual method)

A

act() (uconf.algebraic.algebra.OperadAlgebra method) (uconf.algebraic.pullback_algebra.PullbackAlgebra method) after_cobar_deg() (in module uconf.core.trees) arity() (uconf.core.component.ComponentProtocol method) (uconf.models.associative.Associative method) (uconf.models.barratt_eccles.BarrattEccles method) (uconf.models.commutative.Commutative method) (uconf.models.lie.Lie method) (uconf.models.surjection.Surjection method)

ass_to_com (in module uconf.morphisms.classical) Associative (class in uconf.models.associative)

B

BarAlgebra (class in uconf.constructions.bar_algebra) BarAlgebraModule (class in uconf.constructions.bar_algebra) BarConstruction (class in uconf.constructions.bar_construction) BarrattEccles (class in uconf.models.barratt_eccles) base_ring() (uconf.core.component.ComponentProtocol method) basis_iter() (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule method) (uconf.algebraic.free_algebra.FreeAlgebraModule method) (uconf.algebraic.hadamard_algebra.HadamardTensorAlgebra method) (uconf.algebraic.tree_module.TreeModule method) (uconf.core.component.ComponentProtocol method) (uconf.models.associative.Associative method) (uconf.models.barratt_eccles.BarrattEccles method) (uconf.models.commutative.Commutative method) (uconf.models.lie.Lie method) (uconf.models.simplicial.SimplicialChains static method) (uconf.models.simplicial.SimplicialCochains method) (uconf.models.surjection.Surjection method) (uconf.models.surjection_dual.SurjectionDual method)

basis_weight_iter() (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule method) (uconf.algebraic.free_algebra.FreeAlgebraModule method) (uconf.algebraic.hadamard_algebra.HadamardTensorAlgebra method) (uconf.algebraic.tree_module.TreeModule method) boundary() (uconf.algebraic.algebra.OperadAlgebra method) (uconf.algebraic.coalgebra.CooperadCoalgebra method) (uconf.algebraic.hadamard_algebra.HadamardTensorAlgebra method) (uconf.algebraic.pullback_algebra.PullbackAlgebra method) (uconf.core.component.ComponentProtocol method)

C

canonical_inclusion() (in module uconf.morphisms.canonical_twisting) canonical_projection() (in module uconf.morphisms.canonical_twisting) check_maurer_cartan() (uconf.core.twisting.TwistingMorphism method) children() (in module uconf.core.trees) coact() (uconf.algebraic.coalgebra.CooperadCoalgebra method) CoactionMap (class in uconf.algebraic.coalgebra) CoAssociative (class in uconf.models.coassociative) CobarCoalgebra (class in uconf.constructions.cobar_coalgebra) CobarCoalgebraModule (class in uconf.constructions.cobar_coalgebra) CobarConstruction (class in uconf.constructions.cobar_construction) CoCommutative (class in uconf.models.cocommutative) CofreeCoalgebraModule (class in uconf.algebraic.cofree_coalgebra) CofreeConilpotentCoalgebra (class in uconf.algebraic.cofree_coalgebra) Commutative (class in uconf.models.commutative) Component (uconf.constructions.bar_construction.BarConstruction attribute) (uconf.constructions.cobar_construction.CobarConstruction attribute) (uconf.wrappers.hadamard_operad.HadamardProduct attribute) (uconf.wrappers.shifted_cooperad.ShiftedCooperad attribute) (uconf.wrappers.shifted_operad.ShiftedOperad attribute) ComponentProtocol (class in uconf.core.component) compose() (uconf.constructions.cobar_construction.CobarConstruction method) (uconf.core.operad.OperadComponent static method) (uconf.core.operad.OperadFactory method) (uconf.models.associative.Associative static method) (uconf.models.barratt_eccles.BarrattEccles static method) (uconf.models.commutative.Commutative static method) (uconf.models.lie.Lie static method) (uconf.models.surjection.Surjection static method) (uconf.wrappers.hadamard_operad.HadamardProduct method) (uconf.wrappers.shifted_operad.ShiftedOperad method) compute_chain_complex() (in module uconf.homology)

compute_homology_representatives() (in module uconf.homology) ConfigurationLayers (class in uconf.algebraic.configuration) connectivity (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule property) (uconf.algebraic.free_algebra.FreeAlgebraModule property) (uconf.algebraic.tree_module.TreeModule property) (uconf.constructions.bar_construction.BarConstruction property) (uconf.constructions.cobar_construction.CobarConstruction property) (uconf.core.component.ComponentProtocol attribute) (uconf.models.associative.Associative attribute) (uconf.models.barratt_eccles.BarrattEccles attribute) (uconf.models.commutative.Commutative attribute) (uconf.models.lie.Lie attribute) (uconf.models.simplicial.SimplicialChains attribute) (uconf.models.simplicial.SimplicialCochains property) (uconf.models.surjection.Surjection attribute) (uconf.models.surjection_dual.SurjectionDual attribute) (uconf.wrappers.hadamard_operad.HadamardProduct property) (uconf.wrappers.shifted_cooperad.ShiftedCooperad property) (uconf.wrappers.shifted_operad.ShiftedOperad property) contract_edge() (in module uconf.core.trees) CooperadCoalgebra (class in uconf.algebraic.coalgebra) CooperadComponent (class in uconf.core.cooperad) CooperadFactory (class in uconf.core.cooperad) CooperadLike (in module uconf.core.cooperad) copy_tree_structure() (in module uconf.core.trees) counit() (uconf.constructions.bar_construction.BarConstruction static method) (uconf.core.cooperad.CooperadComponent static method) (uconf.core.cooperad.CooperadFactory method) (uconf.models.coassociative.CoAssociative static method) (uconf.models.cocommutative.CoCommutative static method) (uconf.models.surjection_dual.SurjectionDual static method) counit_element() (uconf.constructions.bar_construction.BarConstruction method)

D

d_alpha() (uconf.constructions.bar_algebra.BarAlgebraModule method) (uconf.constructions.cobar_coalgebra.CobarCoalgebraModule method) d_cofree() (uconf.constructions.bar_algebra.BarAlgebraModule method) d_free() (uconf.constructions.cobar_coalgebra.CobarCoalgebraModule method) d_sigma() (uconf.core.quasi_planar.QuasiPlanarMixin method) d_sigma_decompose() (uconf.core.quasi_planar.QuasiPlanarMixin method) d_sigma_iterate() (uconf.core.quasi_planar.QuasiPlanarMixin method) decoration() (in module uconf.core.trees) degree_on_basis() (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule method) (uconf.algebraic.free_algebra.FreeAlgebraModule method) (uconf.algebraic.tree_module.TreeModule method) (uconf.core.component.ComponentProtocol method) (uconf.models.associative.Associative method) (uconf.models.barratt_eccles.BarrattEccles method) (uconf.models.commutative.Commutative method) (uconf.models.lie.Lie method) (uconf.models.simplicial.SimplicialChains method) (uconf.models.simplicial.SimplicialCochains method) (uconf.models.surjection.Surjection method) (uconf.models.surjection_dual.SurjectionDual method)

dual_basis_it() (uconf.models.simplicial.SimplicialCochains static method)

E

Element (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule attribute) (uconf.algebraic.configuration.TrivialModule attribute) (uconf.algebraic.free_algebra.FreeAlgebraModule attribute) (uconf.algebraic.spherical.ReducedSphereCochains attribute) (uconf.algebraic.tree_module.TreeModule attribute) (uconf.constructions.bar_algebra.BarAlgebraModule attribute) (uconf.constructions.bar_construction.BarConstruction attribute) (uconf.constructions.cobar_coalgebra.CobarCoalgebraModule attribute) (uconf.constructions.cobar_construction.CobarConstruction attribute) (uconf.models.associative.Associative attribute) (uconf.models.barratt_eccles.BarrattEccles attribute) (uconf.models.coassociative.CoAssociative attribute) (uconf.models.cocommutative.CoCommutative attribute) (uconf.models.commutative.Commutative attribute) (uconf.models.lie.Lie attribute) (uconf.models.simplicial.SimplicialChains attribute) (uconf.models.simplicial.SimplicialCochains attribute) (uconf.models.surjection.Surjection attribute) (uconf.models.surjection_dual.SurjectionDual attribute) (uconf.wrappers.hadamard_operad.HadamardProduct attribute) (uconf.wrappers.shifted_cooperad.ShiftedCooperad attribute) (uconf.wrappers.shifted_operad.ShiftedOperad attribute)

enumerate_planar_trees_generic_in_degree() (in module uconf.core.trees) enumerate_planar_trees_in_degree() (in module uconf.core.trees) enumerate_shuffle_trees_cobar_in_degree() (in module uconf.core.trees) enumerate_shuffle_trees_free_in_degree() (in module uconf.core.trees) enumerate_shuffle_trees_generic_in_degree() (in module uconf.core.trees) enumerate_shuffle_trees_in_degree() (in module uconf.core.trees) euclidean_unordered_configuration_model() (in module uconf.algebraic.configuration) evaluate() (uconf.models.simplicial.SimplicialCochains static method) expand_vertex() (in module uconf.core.trees)

F

factory (uconf.core.cooperad.CooperadComponent attribute) (uconf.models.coassociative.CoAssociative attribute) (uconf.models.cocommutative.CoCommutative attribute) (uconf.models.surjection_dual.SurjectionDual attribute)

FreeAlgebraModule (class in uconf.algebraic.free_algebra) FreeOperadAlgebra (class in uconf.algebraic.free_algebra) from_tuple() (uconf.core.trees.RootedTree class method) fundamental_chain() (uconf.models.simplicial.SimplicialChains static method)

G

generator() (uconf.algebraic.spherical.ReducedSphereCochains method) get_on_basis() (in module uconf.core.signs) graded_basis (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule attribute) (uconf.algebraic.free_algebra.FreeAlgebraModule attribute) (uconf.algebraic.spherical.ReducedSphereCochains attribute) (uconf.algebraic.tree_module.TreeModule attribute) (uconf.models.associative.Associative attribute) (uconf.models.barratt_eccles.BarrattEccles attribute) (uconf.models.commutative.Commutative attribute) (uconf.models.lie.Lie attribute) (uconf.models.simplicial.SimplicialCochains attribute) (uconf.models.surjection.Surjection attribute)

graded_basis() (uconf.core.component.ComponentProtocol method) graded_basis_by_weight (uconf.algebraic.cofree_coalgebra.CofreeCoalgebraModule attribute) (uconf.algebraic.free_algebra.FreeAlgebraModule attribute) (uconf.algebraic.hadamard_algebra.HadamardTensorAlgebra attribute) (uconf.algebraic.tree_module.TreeModule attribute) graded_planar_basis (uconf.models.associative.Associative attribute) (uconf.models.barratt_eccles.BarrattEccles attribute) (uconf.models.surjection.Surjection attribute) graded_planar_basis() (uconf.core.quasi_planar.QuasiPlanarProtocol method) graded_weighted_basis (uconf.algebraic.spherical.ReducedSphereCochains attribute) graft() (in module uconf.core.trees)

H

HadamardProduct (class in uconf.wrappers.hadamard_operad)

HadamardTensorAlgebra (class in uconf.algebraic.hadamard_algebra) homology_basis() (in module uconf.homology)

I

include() (uconf.algebraic.free_algebra.FreeOperadAlgebra method) (uconf.constructions.cobar_coalgebra.CobarCoalgebra method) infinitesimal_cocompose() (uconf.algebraic.cofree_coalgebra.CofreeConilpotentCoalgebra method) (uconf.constructions.bar_construction.BarConstruction static method) (uconf.core.cooperad.CooperadComponent static method) (uconf.core.cooperad.CooperadFactory method) (uconf.models.coassociative.CoAssociative static method) (uconf.models.cocommutative.CoCommutative static method) (uconf.models.surjection_dual.SurjectionDual static method)

internal_edges_dfs() (in module uconf.core.trees) is_internal() (in module uconf.core.trees) is_leaf() (in module uconf.core.trees) is_planar_key() (uconf.core.quasi_planar.QuasiPlanarMixin method) is_shuffle_tree() (in module uconf.core.trees)

K

koszul_sign_of_permutation() (in module uconf.core.signs)

L

labelled_configuration_model() (in module uconf.algebraic.configuration) latex_linear_combination() (in module uconf.core.display)

leaves() (in module uconf.core.trees) Lie (class in uconf.models.lie) lie_to_ass (in module uconf.morphisms.classical)

M

make_e_comodule_morphism() (in module uconf.morphisms.e_comodule_morphism) maurer_cartan() (uconf.core.twisting.TwistingMorphism method) min_leaf() (in module uconf.core.trees) module uconf.algebraic.algebra uconf.algebraic.coalgebra uconf.algebraic.cofree_coalgebra uconf.algebraic.configuration uconf.algebraic.free_algebra uconf.algebraic.hadamard_algebra uconf.algebraic.pullback_algebra uconf.algebraic.simplicial uconf.algebraic.spherical uconf.algebraic.tree_module uconf.constructions.bar_algebra uconf.constructions.bar_construction uconf.constructions.cobar_coalgebra uconf.constructions.cobar_construction uconf.core.component uconf.core.cooperad uconf.core.display uconf.core.morphism uconf.core.operad uconf.core.parented_element uconf.core.quasi_planar uconf.core.signs uconf.core.trees uconf.core.twisting uconf.core.vertex_decoration uconf.homology uconf.models.associative uconf.models.barratt_eccles uconf.models.coassociative uconf.models.cocommutative uconf.models.commutative uconf.models.lie uconf.models.simplicial uconf.models.surjection uconf.models.surjection_dual uconf.morphisms.canonical_twisting uconf.morphisms.classical uconf.morphisms.e_comodule_morphism uconf.sampling uconf.wrappers.hadamard_operad uconf.wrappers.shifted_cooperad uconf.wrappers.shifted_operad

N

name (uconf.core.component.ComponentProtocol attribute)

O

OperadAlgebra (class in uconf.algebraic.algebra) OperadComponent (class in uconf.core.operad)

OperadFactory (class in uconf.core.operad) OperadLike (in module uconf.core.operad) OperadMorphism (class in uconf.core.morphism)

P

ParentedElementMixin (class in uconf.core.parented_element) partial_alpha() (uconf.core.twisting.TwistingMorphism method) permutation_signature() (in module uconf.core.signs) planar_basis_iter() (uconf.core.quasi_planar.QuasiPlanarProtocol method) (uconf.models.associative.Associative method) (uconf.models.barratt_eccles.BarrattEccles method) (uconf.models.surjection.Surjection method)

project() (uconf.algebraic.cofree_coalgebra.CofreeConilpotentCoalgebra method) (uconf.constructions.bar_algebra.BarAlgebra method) PullbackAlgebra (class in uconf.algebraic.pullback_algebra)

Q

QuasiPlanarLike (in module uconf.core.vertex_decoration)

QuasiPlanarMixin (class in uconf.core.quasi_planar) QuasiPlanarProtocol (class in uconf.core.quasi_planar)

R

random_bar_element() (in module uconf.sampling) random_barratt_eccles_element() (in module uconf.sampling) random_barratt_eccles_key() (in module uconf.sampling) random_cobar_element() (in module uconf.sampling) random_cofree_coalgebra_element() (in module uconf.sampling) random_free_algebra_element() (in module uconf.sampling) random_hadamard_key() (in module uconf.sampling) random_lie_element() (in module uconf.sampling) random_lie_key() (in module uconf.sampling) random_planar_surjection() (in module uconf.sampling) random_planar_surjection_key() (in module uconf.sampling) random_shuffle_tree() (in module uconf.sampling) random_sphere_admissible_surjection() (in module uconf.sampling) random_sphere_admissible_surjection_key() (in module uconf.sampling)

random_surjection() (in module uconf.sampling) random_surjection_key() (in module uconf.sampling) random_tree_module_element() (in module uconf.sampling) reduced() (uconf.constructions.bar_construction.BarConstruction static method) (uconf.core.cooperad.CooperadComponent static method) (uconf.core.cooperad.CooperadFactory method) (uconf.models.coassociative.CoAssociative static method) (uconf.models.cocommutative.CoCommutative static method) (uconf.models.surjection_dual.SurjectionDual static method) ReducedSphereCochains (class in uconf.algebraic.spherical) relabel_leaves() (in module uconf.core.trees) replace_vertex_decoration() (in module uconf.core.trees) rho() (uconf.models.barratt_eccles.BarrattEccles method) RootedTree (class in uconf.core.trees)

S

sample_algebra_pool() (in module uconf.sampling) sample_basis() (in module uconf.sampling) sample_hadamard_basis() (in module uconf.sampling) sample_operad_basis() (in module uconf.sampling) shifted_boundary_sign() (in module uconf.core.signs) shifted_operadic_compose_sign() (in module uconf.core.signs) shifted_permutation_sign() (in module uconf.core.signs) ShiftedCooperad (class in uconf.wrappers.shifted_cooperad) ShiftedOperad (class in uconf.wrappers.shifted_operad) sign_from_exponent() (in module uconf.core.signs) simplex_dim() (uconf.models.simplicial.SimplicialCochains method) SimplicialChains (class in uconf.models.simplicial) SimplicialCochains (class in uconf.models.simplicial)

sphere_dim() (uconf.algebraic.spherical.ReducedSphereCochains method) sphere_nontrivial_operad_basis_iter() (in module uconf.sampling) sphere_nontrivial_surjection_iter() (in module uconf.sampling) split_at_vertex() (in module uconf.core.trees) star() (uconf.core.twisting.TwistingMorphism method) StructureMap (class in uconf.algebraic.algebra) sum_of_terms() (uconf.core.component.ComponentProtocol method) Surjection (class in uconf.models.surjection) surjection_chain_action() (in module uconf.algebraic.simplicial) surjection_cochain_action() (in module uconf.algebraic.simplicial) SurjectionDual (class in uconf.models.surjection_dual) SurjectionSimplicialChainCoalgebra (class in uconf.algebraic.simplicial) SurjectionSimplicialCochainAlgebra (class in uconf.algebraic.simplicial) SurjectionSphereCochainAlgebra (class in uconf.algebraic.spherical)

T

term() (uconf.core.component.ComponentProtocol method) to_shuffle_tree_bar() (in module uconf.core.trees) to_shuffle_tree_cobar() (in module uconf.core.trees) to_tuple() (uconf.core.trees.RootedTree method) tree_arity() (in module uconf.core.trees)

tree_to_latex() (in module uconf.core.trees) tree_to_string() (in module uconf.core.trees) TreeModule (class in uconf.algebraic.tree_module) TrivialModule (class in uconf.algebraic.configuration) TwistingMorphism (class in uconf.core.twisting)

U

uconf.algebraic.algebra module uconf.algebraic.coalgebra module uconf.algebraic.cofree_coalgebra module uconf.algebraic.configuration module uconf.algebraic.free_algebra module uconf.algebraic.hadamard_algebra module uconf.algebraic.pullback_algebra module uconf.algebraic.simplicial module uconf.algebraic.spherical module uconf.algebraic.tree_module module uconf.constructions.bar_algebra module uconf.constructions.bar_construction module uconf.constructions.cobar_coalgebra module uconf.constructions.cobar_construction module uconf.core.component module uconf.core.cooperad module uconf.core.display module uconf.core.morphism module uconf.core.operad module uconf.core.parented_element module uconf.core.quasi_planar module uconf.core.signs module uconf.core.trees module uconf.core.twisting module uconf.core.vertex_decoration module uconf.homology module uconf.models.associative module

uconf.models.barratt_eccles module uconf.models.coassociative module uconf.models.cocommutative module uconf.models.commutative module uconf.models.lie module uconf.models.simplicial module uconf.models.surjection module uconf.models.surjection_dual module uconf.morphisms.canonical_twisting module uconf.morphisms.classical module uconf.morphisms.e_comodule_morphism module uconf.sampling module uconf.wrappers.hadamard_operad module uconf.wrappers.shifted_cooperad module uconf.wrappers.shifted_operad module unit() (uconf.constructions.cobar_construction.CobarConstruction method) (uconf.core.operad.OperadComponent static method) (uconf.core.operad.OperadFactory method) (uconf.models.associative.Associative static method) (uconf.models.barratt_eccles.BarrattEccles static method) (uconf.models.commutative.Commutative static method) (uconf.models.lie.Lie static method) (uconf.models.surjection.Surjection static method) (uconf.wrappers.hadamard_operad.HadamardProduct method) (uconf.wrappers.shifted_operad.ShiftedOperad method) unit_key() (uconf.constructions.bar_construction.BarConstruction method) (uconf.constructions.cobar_construction.CobarConstruction method) (uconf.core.cooperad.CooperadComponent static method) (uconf.core.cooperad.CooperadFactory method) (uconf.core.operad.OperadComponent static method) (uconf.core.operad.OperadFactory method) (uconf.models.associative.Associative static method) (uconf.models.barratt_eccles.BarrattEccles static method) (uconf.models.commutative.Commutative static method) (uconf.models.lie.Lie static method) (uconf.models.surjection.Surjection static method) (uconf.wrappers.hadamard_operad.HadamardProduct method) (uconf.wrappers.shifted_cooperad.ShiftedCooperad method) (uconf.wrappers.shifted_operad.ShiftedOperad method) unordered_configuration_model() (in module uconf.algebraic.configuration)

V

validate_tree() (in module uconf.core.trees) vertex_arity() (in module uconf.core.trees)

VertexDecorationLike (in module uconf.core.vertex_decoration) vertices_dfs() (in module uconf.core.trees) volume_form() (uconf.models.simplicial.SimplicialCochains static method)

W

weight() (in module uconf.core.trees)

Z

zero() (uconf.core.component.ComponentProtocol method)