awdiagcub.h File Reference

A cubical version of the Alexander-Whitney diagonal. More...

#include <istream>
#include <ostream>
#include "chomp/system/config.h"
#include "chaincon/cubcell.h"
#include "chaincon/combtensor.h"
#include "chaincon/tensor.h"

Go to the source code of this file.

Functions
template<class CoordT , class WrapT , class EmptyT >
void	AWdiagonal (const tCubCell< CoordT, WrapT, EmptyT > &c, tCombTensor< tCubCell< CoordT, WrapT, EmptyT >, tCubCell< CoordT, WrapT, EmptyT > > &t)
	Computes the Alexander-Whitney diagonal of a cubical cell using the formula from Serre's paper. More...
int	AW_rho (long subset, int dim)
	Returns the sign rho of a term in the A-W diagonal (see the paper for details). More...
template<class CoordT , class WrapT , class EmptyT , class CoefT >
void	AWdiagonal (const tCubCell< CoordT, WrapT, EmptyT > &c, tTensor< tCubCell< CoordT, WrapT, EmptyT >, tCubCell< CoordT, WrapT, EmptyT >, CoefT > &t)
	Computes the Alexander-Whitney diagonal of a cubical cell using the formula from Serre's paper. More...

Detailed Description

A cubical version of the Alexander-Whitney diagonal.

Definition in file awdiagcub.h.

Function Documentation

AW_rho()

int AW_rho ( long  subset, int  dim  )

inline

Returns the sign rho of a term in the A-W diagonal (see the paper for details).

Definition at line 124 of file awdiagcub.h.

Referenced by AWdiagonal().

AWdiagonal() [1/2]

template<class CoordT , class WrapT , class EmptyT >

void AWdiagonal ( const tCubCell< CoordT, WrapT, EmptyT > &  c, tCombTensor< tCubCell< CoordT, WrapT, EmptyT >, tCubCell< CoordT, WrapT, EmptyT > > &  t  )

inline

Computes the Alexander-Whitney diagonal of a cubical cell using the formula from Serre's paper.

A purely combinatorial version.

Definition at line 52 of file awdiagcub.h.

AWdiagonal() [2/2]

template<class CoordT , class WrapT , class EmptyT , class CoefT >

void AWdiagonal ( const tCubCell< CoordT, WrapT, EmptyT > &  c, tTensor< tCubCell< CoordT, WrapT, EmptyT >, tCubCell< CoordT, WrapT, EmptyT >, CoefT > &  t  )

inline

Computes the Alexander-Whitney diagonal of a cubical cell using the formula from Serre's paper.

A general version.

Definition at line 145 of file awdiagcub.h.

References AW_rho().