Group cocycles on the volume-preserving diffeomorphism group

2020/12/07 by Shuhei Maruyama, Maruyama, Shuhei
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.2012.03701

6 pages

arxiv created 2020/12/07 · arxiv updated 2020/12/08

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.

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