Noncommutative cohomological field theories

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Dotsenko, Vladimir

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Title

Noncommutative cohomological field theories

Title of Series

Field Theories and Higher Structures in Mathematics and Physics (17w5167)

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Author

Dotsenko, Vladimir

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.14288/1.0376820 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2017

Language

English

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Subject Area

Mathematics Physics

Genre

Workshop/Interactive Format Lecture

Abstract

I shall introduce a noncommutative version of the notion of a CohFT, where the role of Deligne-Mumford compactifications of moduli spaces is played by toric varieries of Loday's realisations of associahedra. The corresponding noncommutative analogues of Gerstenhaber and Batalin-Vilkovisky algebras will also be discussed. This is a joint work with S.Shadrin and B.Vallette.