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.
Bibliographical notePublisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.
- Lie bialgebras
- Poisson structures
- deformation quantization
- properads and props
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics