On Quantizable Odd Lie Bialgebras

被引：0
|
作者：
Anton Khoroshkin
Sergei Merkulov
Thomas Willwacher
机构：
[1] National Research University Higher School of Economics,International Laboratory of Representation Theory and Mathematical Physics
[2] ITEP,Mathematics Research Unit
[3] Luxembourg University,Institute of Mathematics
[4] University of Zurich,undefined
来源：
Letters in Mathematical Physics | 2016年 / 106卷
关键词：
Lie bialgebras; deformation quantization; Poisson structures; properads and props.; 17B62; 18D50; 55P48; 53D55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：1199 / 1215
页数：16
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