Computing the Thurston-Bennequin invariant in open books

Fuente: arXiv
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Autori principali: Durst, Sebastian, Kegel, Marc, Klukas, Mirko
Natura: Preprint
Pubblicazione: 2016
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author Durst, Sebastian
Kegel, Marc
Klukas, Mirko
author_facet Durst, Sebastian
Kegel, Marc
Klukas, Mirko
contents We give explicit formulas and algorithms for the computation of the Thurston-Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on contact Heegaard surfaces. Furthermore, we extend the results to rationally nullhomologous knots in arbitrary 3-manifolds.
format Preprint
id arxiv_https___arxiv_org_abs_1605_00794
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Computing the Thurston-Bennequin invariant in open books
Durst, Sebastian
Kegel, Marc
Klukas, Mirko
Geometric Topology
Symplectic Geometry
57R17 (Primary), 57M27, 57R65 (Secondary)
We give explicit formulas and algorithms for the computation of the Thurston-Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on contact Heegaard surfaces. Furthermore, we extend the results to rationally nullhomologous knots in arbitrary 3-manifolds.
title Computing the Thurston-Bennequin invariant in open books
topic Geometric Topology
Symplectic Geometry
57R17 (Primary), 57M27, 57R65 (Secondary)
url https://arxiv.org/abs/1605.00794