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What do dg-categories form?

Published online by Cambridge University Press:  20 September 2007

Dmitry Tamarkin
Dmitry Tamarkin
Affiliation:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208–2730, USA tamarkin@math.northwestern.edu
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Abstract

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We introduce a homotopy 2-category structure on the collection of dg-categories, dg-functors, and their derived transformations. This construction provides for a conceptual proof of Deligne's conjecture on Hochschild cochains.

Keywords

differential graded category2-operadmultisimplicial set18D0518D5055U1055U40
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 5 , September 2007 , pp. 1335 - 1358
Copyright
Foundation Compositio Mathematica 2007