Serre duality for Khovanov–Rozansky homology

• Eugene Gorsky ^[1] ; Matthew Hogancamp ^[2] ; Anton Mellit ^[3] ; Keita Nakagane ^[4]
  1. [1] University of California System

     University of California System

     Estados Unidos

     
  2. [2] University of Southern California

     University of Southern California

     Estados Unidos

     
  3. [3] University of Vienna

     University of Vienna

     Innere Stadt, Austria

     
  4. [4] Tokyo Institute of Technology

     Tokyo Institute of Technology

     Japón

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 5, 2019
• Idioma: inglés
• DOI: 10.1007/s00029-019-0524-5
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• Resumen

  • 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.