On sl (N) link homology with mod N coefficients

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Abstract

We construct an operator on sl(N) link homology with coefficients in a ring whose characteristic divides N. If P is a prime number, we use this operator to exhibit structural features of sl(P) link homology that are special to characteristic P that generalize well-known features of Khovanov homology that are special to characteristic 2.

Original languageEnglish (US)
Pages (from-to)87-121
Number of pages35
JournalQuantum Topology
Volume15
Issue number1
DOIs
StatePublished - Feb 16 2023
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Geometry and Topology

Keywords

  • Khovanov homology
  • Khovanov–Rozansky homology
  • link homology

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