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Khovanov-Rozansky homology and the braid index of a knot
Author(s):
Keiko
Kawamuro
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2459-2469.
MSC (2000):
Primary 57M25, 57M27;
Secondary 57M50
Posted:
February 23, 2009
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Abstract:
We construct a knot whose braid index is not detected by the Morton-Franks-Williams (MFW) inequality but is detected by a related KR-MFW inequality that comes from the Khovanov-Rozansky homology. We also construct infinitely many knots whose braid indices are not detected by the KR-MFW inequality.
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Additional Information:
Keiko
Kawamuro
Affiliation:
Department of Mathematics, Rice University, Houston, Texas 77005
Address at time of publication:
School of Mathematics, The Institute for Advanced Study, Princeton, New Jersey 08540
Email:
kk6@ias.edu
DOI:
10.1090/S0002-9939-09-09743-3
PII:
S 0002-9939(09)09743-3
Received by editor(s):
November 9, 2007,
Received by editor(s) in revised form:
July 2, 2008
Posted:
February 23, 2009
Additional Notes:
The author was partially supported by NSF grants DMS-0806492 and DMS-0635607.
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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