On Quantizable Odd Lie Bialgebras

Anton Khoroshkin; Sergei Merkulov; Thomas Willwacher

doi:10.1007/s11005-016-0873-3

On Quantizable Odd Lie Bialgebras

Anton Khoroshkin, Sergei Merkulov, Thomas Willwacher

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by the obstruction to the deformation quantization of Poisson structures in infinite dimensions, we introduce the notion of a quantizable odd Lie bialgebra. The main result of the paper is a construction of the highly non-trivial minimal resolution of the properad governing such Lie bialgebras, and its link with the theory of so-called quantizable Poisson structures.

Original language	American English
Pages (from-to)	1199-1215
Number of pages	17
Journal	Letters in Mathematical Physics
Volume	106
Issue number	9
DOIs	https://doi.org/10.1007/s11005-016-0873-3
State	Published - 1 Sep 2016
Externally published	Yes

Keywords

Lie bialgebras
Poisson structures
deformation quantization
properads and props

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-016-0873-3

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AB - Motivated by the obstruction to the deformation quantization of Poisson structures in infinite dimensions, we introduce the notion of a quantizable odd Lie bialgebra. The main result of the paper is a construction of the highly non-trivial minimal resolution of the properad governing such Lie bialgebras, and its link with the theory of so-called quantizable Poisson structures.

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KW - deformation quantization

KW - properads and props

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On Quantizable Odd Lie Bialgebras

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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