Batalin-Vilkovisky structures on moduli spaces of flat connections

DOI10.1016/j.aim.2024.109580arXiv2210.08944MaRDI QIDQ6126728

Pavol Ševera, Anton Yu. Alekseev, Florian Naef, Ján Pulmann

Publication date: 10 April 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08944

zbMATH Keywords

Lie superalgebrasBatalin-Vilkovisky formalismflat connectionsGoldman-Turaev Lie bialgebra

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Symplectic structures of moduli spaces (53D30) Lie algebras and Lie superalgebras (17Bxx) Character varieties (14M35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moduli spaces for quilted surfaces and Poisson structures
• The Frobenius properad is Koszul
• The quasi-Poisson Goldman formula
• Decorated Teichmüller theory
• A chord diagrammatic presentation of the mapping class group of a once bordered surface
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• The invariant theory of \(n\times n\) matrices
• Combinatorial Lie bialgebras of curves on surfaces.
• Manin pairs and moment maps.
• The Poisson structure on the moduli space of flat connections and chord diagrams
• Invariant theory for matrices over the Grassmann algebra.
• Quasi-Poisson Structures on Representation Spaces of Surfaces
• Casimirs of the Goldman Lie algebra of a closed surface
• Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• Skein quantization of Poisson algebras of loops on surfaces
• Quasi-Poisson Manifolds
• The Yang-Mills equations over Riemann surfaces
• Homotopy of Operads and Grothendieck–Teichmüller Groups

This page was built for publication: Batalin-Vilkovisky structures on moduli spaces of flat connections