Thurston-Bennequin number
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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.
[edit] References
- Maximal Thurston-Bennequin number at The Knot Atlas
- Lee Rudolph (1997). "The slice genus and the Thurston-Bennequin invariant of a knot". Proceedings of the American Mathematical Society 125: 3049 3050. doi:. MR1443854.
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