no. 7
Through the analytic halo: Fission via irregular singularities
[De l’autre côté du halo analytique  : fission via les singularités irrégulières]
Boalch, Philip1
1 École Normale Supérieure et CNRS 45 rue d’Ulm 75005 Paris (France)
Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2669-2684.

Cet article s’intéresse aux espaces de modules de connexions sur des fibrés sur les surfaces de Riemann, où le groupe de structure du fibré peut varier dans les différentes régions de la surface. Ici, nous allons décrire de tels espaces de modules comme variétés symplectiques complexes, en généralisant les variétés de caractères complexes des surfaces de Riemann.

This article is concerned with moduli spaces of connections on bundles on Riemann surfaces, where the structure group of the bundle may vary in different regions of the surface. Here we will describe such moduli spaces as complex symplectic manifolds, generalising the complex character varieties of Riemann surfaces.

DOI : 10.5802/aif.2503
Classification : 53D30, 34M40
Keywords: Analytic halo, character variety, fission
Mot clés : halo analytique, variété de caractère, fission

Boalch, Philip 1

1 École Normale Supérieure et CNRS 45 rue d’Ulm 75005 Paris (France) 
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Boalch, Philip. Through the analytic halo: Fission via irregular singularities. Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2669-2684. doi : 10.5802/aif.2503. https://aif.centre-mersenne.org/articles/10.5802/aif.2503/

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