English

An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fiber bundle

Algebraic Topology 2022-02-01 v2

Abstract

We present an elementary approach to local combinatorial formulae for the Euler class of a fiber-oriented triangulated spherical fiber bundle. The approach is based on sections averaging technique and very basic knowledge of simplicial (co)homology theory. Our formulae are close relatives of those by N. Mn\"{e}v.

Keywords

Cite

@article{arxiv.2201.00398,
  title  = {An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fiber bundle},
  author = {Gaiane Panina},
  journal= {arXiv preprint arXiv:2201.00398},
  year   = {2022}
}