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Regular version of the site

Article

Computing Intersection Numbers and Bases of Cohomology Groups for Triangulated Closed Three-Dimensional Manifolds

Lobachevskii Journal of Mathematics. 2019. Vol. 40. No. 5. P. 690-698.
Yakovlev E., Epifanov V.

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 intersection numbers of 1- and 2-dimensional cycles are developed. Using these
algorithms it is possible to construct a basis of the cohomology group from a given basis of the
homology group of complementary dimension.