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The slice genus and the Thurston-Bennequin invariant of a knot


Author: Lee Rudolph
Journal: Proc. Amer. Math. Soc. 125 (1997), 3049-3050
MSC (1991): Primary 57M25; Secondary 14H99
DOI: https://doi.org/10.1090/S0002-9939-97-04258-5
MathSciNet review: 1443854
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Abstract | References | Similar Articles | Additional Information

Abstract: For any knot $K\subset S^{3}$, $g_{s}(K) \ge (\operatorname {TB}(K)+1)/2$.


References [Enhancements On Off] (What's this?)

  • 1. D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-8 (1983), 87-161. MR 86e:58070
  • 2. P. Kronheimer & T. Mrowka, Gauge theory for embedded surfaces, I, Topology (1993). MR 94k:57048
  • 3. -, personal communication, December 11, 1995.
  • 4. Lee Rudolph, An obstruction to sliceness via contact geometry and ``classical'' gauge theory, Invent. Math. 119 (1995), 155-163. MR 95k:57013
  • 5. -, Quasipositivity as an obstruction to sliceness, Bull. Amer. Math. Soc. 29 (1993), 51-59. MR 94d:57028

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Additional Information

Lee Rudolph
Affiliation: Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts 01610
Email: lrudolph@black.clarku.edu

DOI: https://doi.org/10.1090/S0002-9939-97-04258-5
Keywords: Slice genus, Thom Conjecture, Thurston-Bennequin invariant
Received by editor(s): October 12, 1995
Additional Notes: The author was partially supported by NSF grant DMS-9504832 and CNRS
Communicated by: Ronald Stern
Article copyright: © Copyright 1997 American Mathematical Society

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