Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds

E. I. Yakovlev; V. Y. Epifanov

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arXiv · 1609.00223

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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E. I. Yakovlev, V. Y. Epifanov. 2016-09-01. Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds. https://arxiv.org/abs/1609.00223

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