A secondary Chern-Euler class
Geometric Topology
2016-09-07 v1
Abstract
Let xi be a smooth oriented vector bundle, with n-dimensional fibre, over a smooth manifold M. Denote by xi-hat the fibrewise one-point compactification of xi. The main purpose of this paper is to define geometrically a canonical element Upsilon(xi) in H^n(xi-hat,Q) (H^n(xi-hat,Z) tensor 1/2, to be more precise). The element \Upsilon(\xi) is a secondary characteristic class to the Euler class in the fashion of Chern-Simons.
Keywords
Cite
@article{arxiv.math/9911269,
title = {A secondary Chern-Euler class},
author = {Ji-Ping Sha},
journal= {arXiv preprint arXiv:math/9911269},
year = {2016}
}
Comments
8 pages, published version, abstract added in migration