Wall-Crossing Morphisms in Khovanov-Rozansky Homology

Details Wall-Crossing Morphisms in Khovanov-Rozansky Homology Wall-Crossing Morphisms in Khovanov-Rozansky Homology

2007-06-11

arxiv.org/abs/0706.1388v1

Mathematics

Geometric Topology

11 pages, no figures

Scientific paper

We define a wall-crossing morphism for Khovanov-Rozansky homology; that is, a
map between the KR homology of knots related by a crossing change. Using this
map, we extend KR homology to an invariant of singular knots categorifying the
Vasilliev derivative of the HOMFLY polynomial, and of $\mathfrak{sl}_n$ quantum
invariants.

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