On Quantizable Odd Lie Bialgebras

Anton Khoroshkin, Sergei Merkulov, Thomas Willwacher

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1199-1215
Number of pages17
JournalLetters in Mathematical Physics
Issue number9
StatePublished - 1 Sep 2016
Externally publishedYes

Bibliographical note

Publisher 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


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