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This article is available for purchase or by subscription. See below.
Abstract
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For a closed manifold
, let
be the number of ways that
can be realized as a surface
bundle, up to
–fiberwise
diffeomorphism. We consider the case when
. We give the first
computation of
where
but
is not a product. In
particular, we prove
for the Atiyah–Kodaira manifold and any finite cover of a trivial surface bundle. We also give an
example where
.
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Keywords
surface bundle, branched cover
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Mathematical Subject Classification 2010
Primary: 57R22, 57M50
Secondary: 57M10, 55N25
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Publication
Received: 31 March 2017
Revised: 21 December 2017
Accepted: 18 January 2018
Published: 26 April 2018
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