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Unboundedness of some
higher Euler classes
Kathryn Mann |
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Algebraic & Geometric Topology 20 (2020) 1221–1234
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Abstract |
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We study Euler classes in groups of homeomorphisms of Seifert-fibered –manifolds. In contrast to the familiar Euler class for as a discrete group, we show that these Euler classes for as a discrete group are unbounded classes. In fact, we give examples of flat topological –bundles over a genus surface whose Euler class takes arbitrary values. |
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Keywords
Euler class, Seifert fibered, $3$–manifold, homeomorphism
group
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Mathematical Subject Classification 2010
Primary: 57R20
Secondary: 57M60, 57S25
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References |
Publication
Received: 25 November 2017
Revised: 27 May 2019
Accepted: 23 September 2019
Published: 27 May 2020
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Authors |
| Kathryn Mann | |
| Department of Mathematics Cornell University Ithaca, NY United States |
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