English

On certain enumeration problems in two-dimensional topology

Geometric Topology 2008-10-31 v2

Abstract

We announce a solution to several enumeration problems in topology of surfaces. This includes an enumeration of homotopy classes of sections of locally trivial fiber bundles over surfaces and a computation of non-abelian 1-cohomology of surfaces.

Keywords

Cite

@article{arxiv.0804.1489,
  title  = {On certain enumeration problems in two-dimensional topology},
  author = {Vladimir Turaev},
  journal= {arXiv preprint arXiv:0804.1489},
  year   = {2008}
}

Comments

16 pages, corrected typos

R2 v1 2026-06-21T10:29:14.796Z