Group cocycles on the volume-preserving diffeomorphism group
Geometric Topology
2020-12-08 v1
Abstract
We construct two kinds of group cocycles on the volume-preserving diffeomorphism group. We show that, for the volume-preserving diffeomorphism group of the sphere, one of the cocycles gives the Euler class of flat sphere bundles.
Keywords
Cite
@article{arxiv.2012.03701,
title = {Group cocycles on the volume-preserving diffeomorphism group},
author = {Shuhei Maruyama},
journal= {arXiv preprint arXiv:2012.03701},
year = {2020}
}
Comments
6 pages