Sign in
Khovanov-rozansky homology and the braid index of a knot
Journal article   Open access  Peer reviewed

Khovanov-rozansky homology and the braid index of a knot

Keiko Kawamuro
Proceedings of the American Mathematical Society, Vol.137(7), pp.2459-2469
2009
DOI: 10.1090/S0002-9939-09-09743-3
url
https://doi.org/10.1090/S0002-9939-09-09743-3View
Published (Version of record) Open Access

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.

Details

Metrics