knotkit/steenrod_square.h
2012-07-28 13:19:15 -04:00

43 lines
1.1 KiB
C++

class steenrod_square
{
// cube of resolutions (in steenrod_square, c will denote a cycle)
const cube<Z2> &cor;
mod_map<Z2> d;
const chain_complex_simplifier<Z2> &s;
map<grading, set<unsigned> > KGij;
// sC, fC take generators as input, not hypercube vertices
Z2 sC (unsigned x, unsigned y) const;
Z2 fC (unsigned x, unsigned y) const;
pair<set<unsigned>, // Gxy
map<unsigned, unsigned> // lxy
> ladybug_matching (unsigned x, unsigned y) const;
triple<set<unsigned>, // Gcx
map<unsigned, unsigned>, // bx
map<unsigned, Z2> // sx
> boundary_matching (grading cgr,
linear_combination<Z2> c,
unsigned x) const;
set<pair<unsigned, unsigned> > make_G2cx (grading cgr,
linear_combination<Z2> c,
unsigned x) const;
Z2 sq2_coeff (grading cgr,
linear_combination<Z2> c,
unsigned x) const;
public:
steenrod_square (const cube<Z2> &cor_,
mod_map<Z2> &d_,
const chain_complex_simplifier<Z2> &s_);
~steenrod_square () { }
mod_map<Z2> sq1 () const;
mod_map<Z2> sq2 () const;
};