Quasi-Poisson structures on representation spaces of surfaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Mathematics Research Notices Année : 2014

Quasi-Poisson structures on representation spaces of surfaces

Résumé

Given an oriented surface S with base point * on the boundary, we introduce for all N>0, a canonical quasi-Poisson bracket on the space of N-dimensional linear representations of \pi_1(S,*). Our bracket extends the well-known Poisson bracket on GL_N-invariant functions on this space. Our main tool is a natural structure of a quasi-Poisson double algebra (in the sense of M. Van den Bergh) on the group algebra of \pi_1(S,*).

Dates et versions

hal-00700436 , version 1 (23-05-2012)

Identifiants

Citer

Gwenael Massuyeau, Vladimir Turaev. Quasi-Poisson structures on representation spaces of surfaces. International Mathematics Research Notices, 2014, 2014 (1), pp.1-64. ⟨10.1093/imrn/rns215⟩. ⟨hal-00700436⟩
91 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More