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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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Publication
Received: 25 November 2017
Revised: 27 May 2019
Accepted: 23 September 2019
Published: 27 May 2020
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