Unboundedness of some higher Euler classes

Kathryn Mann

doi:10.2140/agt.2020.20.1221

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arXiv · 1709.03359

Unboundedness of some higher Euler classes

Kathryn Mann

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Abstract

In this paper, we study Euler classes in groups of homeomorphisms of Seifert fibered 3-manifolds. We show that, in contrast to the familiar Euler class for $\mathrm{Homeo}_0(S^1)^\delta$, these Euler classes for $\mathrm{Homeo}_0(M^3)^\delta$ are unbounded classes. In fact, we give examples of flat topological M bundles over a genus 3 surface whose Euler class takes arbitrary values.

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Kathryn Mann. 2017-09-11. Unboundedness of some higher Euler classes. https://doi.org/10.2140/agt.2020.20.1221

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