10 template<
typename group_t>
12 typedef typename group_t::rank_t rank_t;
13 typedef typename group_t::diff_t diff_t;
29 Massey(
const chains_t<group_t>&,
const chains_t<group_t>&,
const chains_t<group_t>&,
int,
int,
int,
int,
int,
int,
int,
bool);
36 template<
typename group_t>
38 typedef typename group_t::rank_t rank_t;
39 typedef typename group_t::diff_t diff_t;
51 std::vector<std::vector<int64_t>> CD_detailedrank, DE_detailedrank;
52 std::vector<int64_t> CD_E_detailedrank, C_DE_detailedrank;
54 const int level, degreeC, degreeD, degreeE, selectC, selectD, selectE;
55 Eigen::PermutationMatrix<-1, -1, int64_t> BoxDE_to_BoxCD;
61 MasseyCompute(
const chains_t<group_t>&,
const chains_t<group_t>&,
const chains_t<group_t>&,
int,
int,
int,
int,
int,
int,
int,
bool);
74 #include "impl/Massey.ipp"
Contains the classes mackey::Green, mackey::internal::GreenCompute, mackey::internal::ChainsLevelGen,...
A chain complex.
Definition: Chains.hpp:31
Two levels of a Mackey functor, used for identification.
Definition: Identify.hpp:13
Stores Massey products and their indeterminacy.
Definition: Massey.hpp:11
AbelianGroup< rank_t > group
The homology group the product lives in.
Definition: Massey.hpp:18
IDGenerators< rank_t > boxID
Identification data for the generators of the Massey product.
Definition: Massey.hpp:20
rank_t basis
Expresses the Massey product as a linear combination of the generators of the box product.
Definition: Massey.hpp:16
bool isZero
If the Massey product is 0.
Definition: Massey.hpp:23
Massey(const chains_t< group_t > &, const chains_t< group_t > &, const chains_t< group_t > &, int, int, int, int, int, int, int, bool)
Compute Massey product given level, generator degrees and selections.
Massey()
Set 0 by default.
rank_t normalBasis
Same as basis, but normalized.
Definition: Massey.hpp:17
bool exists
If the Massey product exists.
Definition: Massey.hpp:21
bool noIndeterminacy
If the Massey product has no indeterminacy.
Definition: Massey.hpp:22
std::array< rank_t, 2 > indeterminacy
The indeterminacy of the Massey product, stored as two bases.
Definition: Massey.hpp:19
Tensor product of chain complexes and more.
Definition: Box.hpp:43
Computes homology and identification data.
Definition: Identify.hpp:46
Computes Massey products and their indeterminacy.
Definition: Massey.hpp:37
Everything in this library is under this namespace.
Definition: Box.hpp:9
typename Homology< rank_t, diff_t >::gen_t gen_t
Type of generators in homology.
Definition: Aliases.hpp:72