Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds
Geometric Topology
2016-09-02 v1
Abstract
We solve some computational problems for triangulated closed three-dimensional manifolds using groups of simplicial homology and cohomology modulo 2. Two efficient algorithms for computing the intersection numbers of 1- and 2-dimensional cycles are developed. By means of these algorithms it is possible to construct a basis of cohomology group from the homology group of two cycles of complementary dimensions.
Keywords
Cite
@article{arxiv.1609.00223,
title = {Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds},
author = {E. I. Yakovlev and V. Y. Epifanov},
journal= {arXiv preprint arXiv:1609.00223},
year = {2016}
}