Index Function and Minimal Cycles
| dc.creator | Lapteva, A. V. | |
| dc.creator | Yakovlev, E. I. | |
| dc.date | 2005-10-21 | |
| dc.date.accessioned | 2026-07-07T06:47:45Z | |
| dc.date.available | 2026-07-07T06:47:45Z | |
| dc.description | 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). | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510458 | |
| dc.identifier | http://arxiv.org/abs/math/0510458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103759 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57Q15, 57N65, 65D18 | |
| dc.title | Index Function and Minimal Cycles | |
| dc.type | text |