uconf.wrappers.shifted_cooperad

Shifted cooperad wrapper with suspension/Koszul sign conventions.

Classes

ShiftedCooperad(cooperad_cls, shift_degree)

Factory for shifted cooperad components.

class uconf.wrappers.shifted_cooperad.ShiftedCooperad(cooperad_cls, shift_degree)[source]

Bases: UniqueRepresentation

Factory for shifted cooperad components.

For a cooperad C and integer shift d, the arity-n component is shifted by d (n - 1). Differential and symmetric action use the same transport/sign rules as uconf.shifted_operad.ShiftedOperad.

Parameters:
property connectivity: int

Connectivity of the shifted cooperad.

ShiftedCooperad(C, d)(n) lives in degrees >= (k + d)*(n-1) where k is the connectivity of C, because the degree-shift by d*(n-1) raises the lower bound by d*(n-1).

unit_key()[source]

Return the basis key of the counit generator in arity 1.

Return type:

object

ShiftedCooperad.Component[source]

alias of Component

ShiftedCooperad.Element[source]

alias of Element