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On Legendrian knots and polynomial invariants
Author(s):
Emmanuel
Ferrand
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1169-1176.
MSC (1991):
Primary 53C15, 57M25
Posted:
September 14, 2001
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Abstract:
It is proved in this note that the analogues of the Bennequin inequality which provide an upper bound for the Bennequin invariant of a Legendrian knot in the standard contact three dimensional space in terms of the least degree in the framing variable of the HOMFLY and the Kauffman polynomials are not sharp. Furthermore, the relationships between these restrictions on the range of the Bennequin invariant are investigated, which leads to a new simple proof of the inequality involving the Kauffman polynomial.
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Additional Information:
Emmanuel
Ferrand
Affiliation:
Institut Fourier, BP 74, 38402 St Martin d'Hères Cedex, France
Email:
emmanuel.ferrand@ujf-grenoble.fr
DOI:
10.1090/S0002-9939-01-06153-6
PII:
S 0002-9939(01)06153-6
Keywords:
Contact topology,
polynomial invariants of knots
Received by editor(s):
July 11, 2000
Received by editor(s) in revised form:
October 24, 2000
Posted:
September 14, 2001
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2001,
American Mathematical Society
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