Keiko Kawamuro (Rice University)


Khovanov-Rozansky homology and the braid index of a knot


We prove the existence of a knot whose braid index the Morton-Franks-Williams inequality fails to detect but a related inequality (KR-MFW inequality), which uses new information of Khovanov-Rozansky homology, detects. We also prove, by examples, that there exist infinitely many knots for which the KR-MFW inequality fails to detect the braid indices.

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