On transverse knots and branched covers

Shelly Harvey; Keiko Kawamuro; Olga Plamenevskaya

doi:10.1093/imrn/rnn138

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Journal article

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On transverse knots and branched covers

Shelly Harvey, Keiko Kawamuro and Olga Plamenevskaya

International Mathematics Research Notices, Vol.2009(3), pp.512-546

2009

DOI: 10.1093/imrn/rnn138

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Abstract

We study contact manifolds that arise as cyclic branched covers of transverse knots in the standard contact 3-sphere. We discuss properties of these contact manifolds and describe them in terms of open books and contact surgeries. In many cases we show that such branched covers are contactomorphic for smoothly isotopic transverse knots with the same self-linking number. These pairs of knots includ...

Details

Title: Subtitle: On transverse knots and branched covers
Creators: Shelly Harvey
Keiko Kawamuro
Olga Plamenevskaya
Resource Type: Journal article
Publication Details: International Mathematics Research Notices, Vol.2009(3), pp.512-546
DOI: 10.1093/imrn/rnn138
ISSN: 1073-7928
eISSN: 1687-0247
Language: English
Date published: 2009
Academic Unit: Mathematics
Record Identifier: 9983985806102771

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