Serre duality for Khovanov-Rozansky homology. (English) Zbl 1439.57013
Summary: We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-Rozansky homology, categorifying a theorem of T. Kálmán [Math. Proc. Camb. Philos. Soc. 146, No. 3, 649–660 (2009; Zbl 1183.57006)].
MSC:
| 57K10 | Knot theory |
| 20C08 | Hecke algebras and their representations |
| 18G80 | Derived categories, triangulated categories |
Citations:
Zbl 1183.57006References:
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