Generalized Centers of Braided and Sylleptic Monoidal 2-Categories

Author: Crans S.E.

Source: Advances in Mathematics, Volume 136, Number 2, June 1998 , pp. 183-223(41)

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Abstract:

Recent developments in higher-dimensional algebra due to Kapranov and Voevodsky, Day and Street, and Baez and Neuchl include definitions of braided, sylleptic, and symmetric monoidal 2-categories, and a center construction for monoidal 2-categories which gives a braided monoidal 2-category. I give generalized center constructions for braided and sylleptic monoidal 2-categories which give sylleptic and symmetric monoidal 2-categories, respectively, and I correct some errors in the original center construction for monoidal 2-categories. Copyright 1998 Academic Press.

Language: English

Document Type: Research article

Affiliations: School of Mathematics, Physics, Computing, and Electronics, Macquarie University, NSW, 2109, Australia

Publication date: 1998-06-01