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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1443854
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Abstract: For any knot $K\subset S^{3}$, $g_{s}(K) \ge (\operatorname {TB}(K)+1)/2$.


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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: http://dx.doi.org/10.1090/S0002-9939-97-04258-5
PII: S 0002-9939(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