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2020 Unboundedness of some higher Euler classes
Kathryn Mann
Algebr. Geom. Topol. 20(3): 1221-1234 (2020). DOI: 10.2140/agt.2020.20.1221

Abstract

We study Euler classes in groups of homeomorphisms of Seifert-fibered 3–manifolds. In contrast to the familiar Euler class for Homeo0(S1) as a discrete group, we show that these Euler classes for Homeo0(M3) as a discrete group 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. "Unboundedness of some higher Euler classes." Algebr. Geom. Topol. 20 (3) 1221 - 1234, 2020. https://doi.org/10.2140/agt.2020.20.1221

Information

Received: 25 November 2017; Revised: 27 May 2019; Accepted: 23 September 2019; Published: 2020
First available in Project Euclid: 5 June 2020

zbMATH: 07207573
MathSciNet: MR4105551
Digital Object Identifier: 10.2140/agt.2020.20.1221

Subjects:
Primary: 57R20
Secondary: 57M60, 57S25

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 3 • 2020
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