GOLDMAN ALGEBRA, OPERS AND THE SWAPPING ALGEBRA - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Geometry and Topology Année : 2018

GOLDMAN ALGEBRA, OPERS AND THE SWAPPING ALGEBRA

Résumé

We define a Poisson Algebra called the swapping al- gebra using the intersection of curves in the disk. We interpret a subalgebra of the fraction algebra of the swapping algebra – called the algebra of multifractions – as an algebra of functions on the space of cross ratios and thus as an algebra of functions on the Hitchin component as well as on the space of SLn(R)-opers with trivial holonomy. We relate this Poisson algebra to the Atiyah– Bott–Goldman symplectic structure and to the Drinfel’d–Sokolov reduction. We also prove an extension of Wolpert formula.
Fichier principal
Vignette du fichier
Algebra-Goldman.pdf (930.81 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01141625 , version 1 (13-04-2015)

Identifiants

Citer

François Labourie. GOLDMAN ALGEBRA, OPERS AND THE SWAPPING ALGEBRA. Geometry and Topology, 2018, ⟨10.2140/gt.2018.22.1267⟩. ⟨hal-01141625⟩
65 Consultations
77 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More