Cohomology of colorings of cycles
| dc.creator | Kozlov, Dmitry N. | |
| dc.date | 2005-07-06 | |
| dc.date | 2006-04-13 | |
| dc.date.accessioned | 2026-07-07T06:42:35Z | |
| dc.date.available | 2026-07-07T06:42:35Z | |
| dc.description | We compute the cohomology groups of the spaces of colorings of cycles, i.e., of the prodsimplicial complexes Hom(C_m,K_n). We perform the computation first with Z_2, and then with integer coefficients. The main technical tool is to use spectral sequences in conjunction with a detailed combinatorial analysis of a family of cubical complexes, which we call torus front complexes. As an application of our method, we demonstrate how to collapse each connected component of Hom(C_m,C_n) onto a garland of cubes. | |
| dc.description | 25 pages, references updated | |
| dc.identifier | https://arxiv.org/abs/math/0507117 | |
| dc.identifier | http://arxiv.org/abs/math/0507117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102094 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 05C15; 57M15 | |
| dc.title | Cohomology of colorings of cycles | |
| dc.type | text |