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This article is available for purchase or by subscription. See below.
Abstract
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We prove that there is a knot
transverse to
, the tight
contact structure of
, such
that every contact
–manifold
can be obtained as a contact covering branched along
. By contact covering,
we mean a map
branched along
such that
is contact
isotopic to the lifting of
under
.
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Keywords
contact 3–manifolds, branch coverings, open book
decomposition
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Mathematical Subject Classification 2010
Primary: 53D10
Secondary: 57M12
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Publication
Received: 13 January 2020
Revised: 21 October 2020
Accepted: 4 June 2021
Published: 25 October 2022
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