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arXiv · 1605.00794

Computing the Thurston-Bennequin invariant in open books

Sebastian Durst·Marc Kegel·Mirko Klukas
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Abstract

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.

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Sebastian Durst, Marc Kegel, Mirko Klukas. 2016-05-03. Computing the Thurston-Bennequin invariant in open books. https://doi.org/10.1007/s10474-016-0648-4

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