2016•arXiv (Cornell University)Open access
Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds
E. I. Yakovlev, V. Y. Epifanov
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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.
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