On quantizable odd Lie bialgebras

Abstract

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

A new reference and more details are added

References in corpus (6)

• Homological algebra related to surfaces with boundary
• The Frobenius properad is Koszul
• A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver
• Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves
• Tree- versus graph-level quasilocal Poincare duality on S^1
• Deformation theory of Lie bialgebra properads

Cited by in corpus (2)

• Grothendieck-Teichmueller group, operads and graph complexes: a survey
• An explicit two step quantization of Poisson structures and Lie bialgebras