A note on a local combinatorial formula for the Euler class of a PL spherical fiber bundle
Algebraic Topology
2021-09-21 v2 Combinatorics
Abstract
We present a local combinatorial formula for the Euler class of a -dimen\-si\-onal PL spherical fiber bundle as a rational number associated to a chain of abstract subdivisions of abstract -spherical PL cell complexes. The number is a combinatorial (or matrix) Hodge theory twisting cochain in Guy Hirsch's homology model of the bundle associated with PL combinatorics of the bundle.
Keywords
Cite
@article{arxiv.2109.06143,
title = {A note on a local combinatorial formula for the Euler class of a PL spherical fiber bundle},
author = {Nikolai Mnëv},
journal= {arXiv preprint arXiv:2109.06143},
year = {2021}
}