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Serre duality for Khovanov–Rozansky homology

  • Author(s): Gorsky, E;
  • Hogancamp, M;
  • Mellit, A;
  • Nakagane, K
  • et al.
Abstract

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.

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