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Drinfeld centers for bicategories

Meir, Ehud; Szymik, Markus
Journal article, Peer reviewed
Published version
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URI
http://hdl.handle.net/11250/2630292
Date
2015
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  • Institutt for matematiske fag [1390]
  • Publikasjoner fra CRIStin - NTNU [19694]
Original version
Documenta Mathematica. 2015, 20 707-735.  
Abstract
We generalize Drinfeld’s notion of the center of a tensor category to bicategories. In this generality, we present a spectral sequence to compute the basic invariants of Drinfeld centers: the abelian monoid of isomorphism classes of objects, and the abelian automorphism group of its identity object. There is an associated obstruction theory that explains the difference between the Drinfeld center and the center of the classifying category. For examples, we discuss bicategories of groups and bands, rings and bimodules, as well as fusion categories.
Publisher
Documenta Mathematica
Journal
Documenta Mathematica

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