Serre duality for Khovanov–Rozansky homology
- Author(s): Gorsky, E
- Hogancamp, M
- Mellit, A
- Nakagane, K
- et al.
Published Web Locationhttps://doi.org/10.1007/s00029-019-0524-5
© 2019, Springer Nature Switzerland AG. 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 Kálmán.