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Computing Intersection Numbers and Bases of Cohomology Groups for Triangulated Closed Three-dimensional Manifolds by Yakovlev, E. I.; Epifanov, V. Y. is a scholarly article available to read on EtoBox.

What is Computing Intersection Numbers and Bases of Cohomology Groups for Triangulated Closed Three-dimensional Manifolds about?

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.

Author

Yakovlev, E. I.; Epifanov, V. Y.

Published

2016

Language

EN