Corpus ID: 211126657

Derived traces of Soergel categories

  title={Derived traces of Soergel categories},
  author={Eugene Gorsky and Matthew Hogancamp and Paul Wedrich},
  journal={arXiv: Geometric Topology},
  • Eugene Gorsky, Matthew Hogancamp, Paul Wedrich
  • Published 2020
  • Mathematics
  • arXiv: Geometric Topology
  • Author(s): Gorsky, Eugene; Hogancamp, Matthew; Wedrich, Paul | Abstract: We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in categories of Soergel bimodules. First, we explicitly compute the usual Hochschild homology, or derived vertical trace, of the category of Soergel bimodules in arbitrary types. We show that this dg algebra is formal, and calculate its homology explicitly, for all Coxeter groups. Secondly, we introduce the notion of derived… CONTINUE READING


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