LOCAL WILD MAPPING CLASS GROUPS AND CABLED BRAIDS - Institut de Mathématiques et de Modélisation de Montpellier Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

LOCAL WILD MAPPING CLASS GROUPS AND CABLED BRAIDS

Résumé

We will define and study some generalisations of pure g-braid groups that occur in the theory of connections on curves, for any complex reductive Lie algebra g. They make up local pieces of the wild mapping class groups, which are fundamental groups of (universal) deformations of wild Riemann surfaces, underlying the braiding of Stokes data and generalising the usual mapping class groups. We will establish a general product decomposition for the local wild mapping class groups, and in many cases define a fission tree controlling this decomposition. Further in type A we will show one obtains cabled versions of braid groups, related to braid operads. Contents
Fichier principal
Vignette du fichier
pure_local_wild_MCGs.pdf (451.47 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03748600 , version 1 (09-08-2022)
hal-03748600 , version 2 (12-06-2024)

Identifiants

  • HAL Id : hal-03748600 , version 1

Citer

Jean Douçot, Gabriele Rembado, Matteo Tamiozzo. LOCAL WILD MAPPING CLASS GROUPS AND CABLED BRAIDS. 2022. ⟨hal-03748600v1⟩
20 Consultations
29 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More