Derived Traces of Soergel Categories
نویسندگان
چکیده
Abstract We study two kinds of categorical traces (monoidal) dg categories, with particular interest in categories Soergel bimodules. First, we explicitly compute the usual Hochschild homology, or derived vertical trace, category bimodules arbitrary types. Secondly, introduce notion horizontal trace a monoidal and type $A$. As an application obtain annular Khovanov–Rozansky link invariant action full twist insertion, thus categorification HOMFLY-PT skein module solid torus.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab019