The quasi-Poisson Goldman formula

Abstract

We prove a quasi-Poisson bracket formula for the space of representations of the fundamental groupoid of a surface with boundary, which generalizes Goldman's Poisson bracket formula. We also deduce a similar formula for quasi-Poisson cross-sections.

References in corpus (1)

• Poisson Geometry of SL(3,C)-Character Varieties Relative to a Surface with Boundary

Cited by in corpus (3)

• Batalin-Vilkovisky structures on moduli spaces of flat connections
• Noncommutative Networks on a Cylinder
• Deformation Quantization via Categorical Factorization Homology