Computing the Thurston-Bennequin invariant in open books
arXiv:1605.00794 · doi:10.1007/s10474-016-0648-4
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.
17 pages, 8 figures; Version 2: Fixed two sign mistakes (one in the formula for the Heegaard splitting and one in the proof of the formula for the open books), shortened the example section