BC4S2< group_t > Class Template Reference

The space \(B_{C_4}\Sigma_2\) up to given dimension. More...

#include <BC4S2.hpp>

Inheritance diagram for BC4S2< group_t >:

Collaboration diagram for BC4S2< group_t >:

Public Member Functions
	BC4S2 (int dimension)
	Constructs BC4S2 as a cellular equivariant space up to given dimension. More...
Public Member Functions inherited from Space< BC4S2< group_t >, group_t >
const auto &	getChains ()
	Returns const reference to the equivariant cellular chain complex of the space. More...
const auto &	getCoChains ()
	Returns const reference to the equivariant cellular cochain complex of the space. More...
auto	ROHomology (int level, const std::vector< int > &homologysphere)
	Returns \(H_{*+V}^{C_{2^n}}(X)\) where \(l\)=level and \(V\)=homologysphere are provided. More...
auto	ROHomology (const std::vector< int > &homologysphere)
	Returns \(H_{*+V}(X)\) where \(V\)=homologysphere is provided. More...
auto	ROCohomology (int level, const std::vector< int > &cohomologysphere)
	Returns \(H^{*+V}_{C_{2^n}}(X)\) where \(n\)=level and \(V\)=cohomologysphere are provided. More...
auto	ROCohomology (const std::vector< int > &cohomologysphere)
	Returns \(H^{*+V}(X)\) where \(V\)=cohomologysphere is provided. More...

Friends
class	Space< BC4S2< group_t >, group_t >
	Befriending parent class. More...

Additional Inherited Members
Protected Member Functions inherited from Space< BC4S2< group_t >, group_t >
equivariant_index	convert (nonequivariant_index n, int dimension) const
	Converts nonequivariant index to equivariant one given dimension. More...
nonequivariant_index	convert (equivariant_index e, int dimension) const
	Converts equivariant index to nonequivariant one given cell. More...
auto	boundary (int dimension_domain, equivariant_index cell)
	The boundary map of each cell. More...
int64_t	estimate_nonzero_entries (int dimension_domain)
	An estimate of the nonzero entries of the differential matrix at the given dimension. Must be overriden in any child class! More...
nonequivariant_index	action (nonequivariant_index n, int dimension) const
	Produces g*n given cell n. More...
Protected Attributes inherited from Space< BC4S2< group_t >, group_t >
std::vector< rank_t >	cells
	The equivariant cells in each dimension. Needs to be constructed in any child class! More...

Detailed Description

template<typename group_t>
class mackey::BC4S2< group_t >

The space \(B_{C_4}\Sigma_2\) up to given dimension.

Attention

Currently the differentials are only supported for \(\mathbf Z/2\) coefficients

Constructor & Destructor Documentation

BC4S2()

BC4S2

(

int

dimension

)

Constructs BC4S2 as a cellular equivariant space up to given dimension.

Attention

The dimension must not be 2 mod 4

Friends And Related Function Documentation

Space< BC4S2< group_t >, group_t >

friend class Space< BC4S2< group_t >, group_t >

friend

Befriending parent class.

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The documentation for this class was generated from the following file:

• BC4S2.hpp