Thurston-Bennequin number
- Thurston-Bennequin number
In knot theory, the Thurston-Bennequin number, or Bennequin number, of a front diagram of a Legendrian knot is defined as the writhe of the diagram minus the number of right cusps. The maximum Thurston-Bennequin number over all possible front diagrams of the Legendrian knot is a Legendrian isotopy invariant of the knot.
References
* [http://katlas.math.toronto.edu/wiki/Maximal_Thurston-Bennequin_number Maximal Thurston-Bennequin number at The Knot Atlas]
*cite journal
author = Lee Rudolph
title = The slice genus and the Thurston-Bennequin invariant of a knot
journal = Proceedings of the American Mathematical Society
volume = 125
pages = 3049 3050
year = 1997
id = MathSciNet | id = 1443854
doi = 10.1090/S0002-9939-97-04258-5
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