
Macaulay2
 Referenced in 1904 articles
[sw00537]
 specifically with them. Macaulay2 can compute Betti numbers, Ext, cohomology of coherent sheaves on projective...

BoijSoederberg
 Referenced in 56 articles
[sw18577]
 conjectures, see math.AC/0611081, ”Graded Betti numbers of CohenMacaulay modules and the Multiplicity conjecture...

RedHom
 Referenced in 12 articles
[sw08776]
 RedHom may be used to compute Betti numbers, torsion coefficients, homology generators, persistence intervals...

RIVET
 Referenced in 5 articles
[sw27770]
 Modules and Computing Minimal Presentations and Betti Numbers of 2Parameter Persistent Homology. Additional papers...

BettiBounds
 Referenced in 1 article
[sw31690]
 Macaulay2 package BettiBounds: Bounds for the Betti numbers of iterated stellar subdivisions of the boundary ... give in [6] bounds for the Betti numbers of the StanleyReisner ring ... obtain a bound for the total Betti numbers of iterated stellar subdivisions of the boundary ... simplex. This bound depends only on the number of stellars and we construct examples which...

Polytop
 Referenced in 2 articles
[sw25569]
 compute the Euler characteristic, genus, Betti numbers, and generators of the fundamental group...

HERMES
 Referenced in 2 articles
[sw41012]
 same topological invariants, namely persistent Betti numbers, at various dimensions as those provided...

goettsche.lib
 Referenced in 1 article
[sw27131]
 goettsche.lib: Drezet’s formula for the Betti numbers of the moduli space of Kronecker modules ... Goettsche’s formula for the Betti numbers of the Hilbert scheme of points...

pureBraid.py
 Referenced in 1 article
[sw20839]
 pureBraid.py Python Code to Calculate the Betti Numbers of the Pure Braid Group...

ResolutionsOfStanleyReisnerRings
 Referenced in 0 articles
[sw36751]
 systems of parameters and finding the Betti numbers of the resolution of the StanleyReisner ... complexes and for computing the graded Betti numbers of the resolutions of the StanleyReisner...

Library of Triangulations
 Referenced in 14 articles
[sw20482]
 function is chosen randomly, and then the number of critical points is calculated leading ... vector can be much larger than the Betti vector but it turns out that ... concrete triangulations of certain manifolds with a number of vertices ranging between 8 and several...

SchurVeronese
 Referenced in 1 article
[sw30568]
 accessible in Macaulay2. In addition to standard Betti tables, the package includes information about ... syzygies. The package also includes a number of functions useful for manipulating and studying this...

CoCoA
 Referenced in 654 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

CoCoALib
 Referenced in 61 articles
[sw00144]
 CoCoALib: A C++ library for computations in commutative...

GAP
 Referenced in 3154 articles
[sw00320]
 GAP is a system for computational discrete algebra...

LinBox
 Referenced in 41 articles
[sw00522]
 LinBox: A Generic Library for Exact Linear Algebra...

Magma
 Referenced in 3296 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...

Maple
 Referenced in 5363 articles
[sw00545]
 The result of over 30 years of cutting...

Matlab
 Referenced in 13460 articles
[sw00558]
 MATLAB® is a highlevel language and interactive...

nauty
 Referenced in 609 articles
[sw00611]
 graphtheoretic program NAUTY: nauty is a program...