Geodesic
Drinfeld centers for bicategories
Documenta mathematica, Tome 20 (2015), pp. 707-735

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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.
DOI : 10.4171/dm/503
Classification : 55T99
Mots-clés : Drinfeld centers, bicategories, spectral sequences, obstruction theory, bands, bimodules, fusion categories 
Ehud Meir; Markus Szymik. Drinfeld centers for bicategories. Documenta mathematica, Tome 20 (2015), pp. 707-735. doi: 10.4171/dm/503
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     author = {Ehud Meir and Markus Szymik},
     title = {Drinfeld centers for bicategories},
     journal = {Documenta mathematica},
     pages = {707--735},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/503},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/503/}
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