Index Function and Minimal Cycles

A. V. Lapteva; E. I. Yakovlev

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arXiv · math/0510458

Index Function and Minimal Cycles

A. V. Lapteva·E. I. Yakovlev

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Abstract

Let P be a closed triangulated manifold, dim P=n. We consider the group of simplicial 1-chains C_1(P) and the homology group H_1(P). We also use some nonnegative weighting function L on C_1(P). For any homological class from H_1(P) method proposed in article builds a cycle z with minimal weight L(z). The main idea is in using a simplicial scheme of space of the regular covering with automorphism group H_1(P). We construct this covering applying index function relative to any basis of group H_{n-1}(P).

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BibTeX RIS

A. V. Lapteva, E. I. Yakovlev. 2005-10-21. Index Function and Minimal Cycles. https://arxiv.org/abs/math/0510458

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