| Published in |
Journal of Gökova Geometry Topology, Volume 12 (2018) |
| Title |
Computing rotation numbers in open books |
| Authors |
Sebastian Durst and Marc Kegel
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| Abstract |
We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new formulas for the computation of the Thurston--Bennequin invariant of such knots and the Euler class and the \(d_3\)-invariant of the underlying contact structure.
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| Keywords |
Legendrian knots, rotation number, open books. |
| Pages | 71-92 |
| Download |
PDF |
| Submitted: | Jan 22, 2018 |
| Accepted: | Apr 20, 2018 |
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