Table des matières de ce fascicule | Article précédent | Article suivant
Philip Boalch
Through the analytic halo: Fission via irregular singularities
(De l’autre côté du halo analytique : fission via les singularités irrégulières)
Annales de l'institut Fourier, 59 no. 7 (2009), p. 2669-2684
Article: sur abonnement
Class. Math.: 53D30, 34M40
Mots clés: halo analytique, variété de caractère, fission
[1] Anton Alekseev, H. Burstzyn & Eckhard Meinrenken, “Pure spinors on Lie groups”, arXiv:0709.1452
[2] Anton Alekseev, Anton Malkin & Eckhard Meinrenken, “Lie group valued moment maps”, J. Differential Geom. 48 (1998), p. 445-495
Article | MR 1638045 | Zbl 0948.53045
[3] Olivier Biquard & P. P. Boalch, “Wild non-abelian Hodge theory on curves”, Compos. Math. 140 (2004), p. 179-204 MR 2004129 | Zbl 1051.53019
[4] P. P. Boalch, “Irregular connections and Kac-Moody root systems”, arXiv:0806.1050
arXiv
[5] P. P. Boalch, “Stokes matrices, Poisson Lie groups and Frobenius manifolds”, Invent. Math. 146 (2001), p. 479-506 MR 1869848 | Zbl 1044.53060
[6] P. P. Boalch, “Symplectic manifolds and isomonodromic deformations”, Adv. Math. 163 (2001), p. 137-205 MR 1864833 | Zbl 1001.53059
[7] P. P. Boalch, “$G$-bundles, isomonodromy, and quantum Weyl groups”, Int. Math. Res. Not. (2002), p. 1129-1166, math.DG/0108152 MR 1904670 | Zbl 1003.58028
[8] P. P. Boalch, “Quasi-Hamiltonian geometry of meromorphic connections”, Duke Math. J. 139 (2007), p. 369-405, math.DG/0203161
arXiv | MR 2352135 | Zbl 1126.53055
[9] Pierre Deligne, Bernard Malgrange & Jean-Pierre Ramis, Singularités irrégulières, Documents Mathématiques (Paris), 5, Société Mathématique de France, 2007, Correspondance et documents MR 2387754 | Zbl 1130.14001
[10] N. J. Hitchin, “The self-duality equations on a Riemann surface”, Proc. London Math. Soc. (3) 55 (1987), p. 59-126 MR 887284 | Zbl 0634.53045
[11] Jean Martinet & Jean-Pierre Ramis, “Elementary acceleration and multisummability I”, Ann. Inst. H. Poincaré Phys. Théor. 54 (1991), p. 331-401
Numdam | MR 1128863 | Zbl 0748.12005
[12] Hiraku Nakajima, Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces, Moduli of vector bundles (Sanda, 1994; Kyoto, 1994), Dekker, 1996, p. 199–208 MR 1397988 | Zbl 0881.14006
[13] Carlos T. Simpson, “Harmonic bundles on noncompact curves”, J. Amer. Math. Soc. 3 (1990), p. 713-770 MR 1040197 | Zbl 0713.58012
[14] Carlos T. Simpson, The Hodge filtration on nonabelian cohomology, Algebraic geometry—Santa Cruz 1995, Amer. Math. Soc., 1997, p. 217–281 MR 1492538 | Zbl 0914.14003
Philip Boalch
Through the analytic halo: Fission via irregular singularities
(De l’autre côté du halo analytique : fission via les singularités irrégulières)
Annales de l'institut Fourier, 59 no. 7 (2009), p. 2669-2684
Article: sur abonnement
Class. Math.: 53D30, 34M40
Mots clés: halo analytique, variété de caractère, fission
Résumé - Abstract
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.
Bibliographie
[2] Anton Alekseev, Anton Malkin & Eckhard Meinrenken, “Lie group valued moment maps”, J. Differential Geom. 48 (1998), p. 445-495
Article | MR 1638045 | Zbl 0948.53045
[3] Olivier Biquard & P. P. Boalch, “Wild non-abelian Hodge theory on curves”, Compos. Math. 140 (2004), p. 179-204 MR 2004129 | Zbl 1051.53019
[4] P. P. Boalch, “Irregular connections and Kac-Moody root systems”, arXiv:0806.1050
arXiv
[5] P. P. Boalch, “Stokes matrices, Poisson Lie groups and Frobenius manifolds”, Invent. Math. 146 (2001), p. 479-506 MR 1869848 | Zbl 1044.53060
[6] P. P. Boalch, “Symplectic manifolds and isomonodromic deformations”, Adv. Math. 163 (2001), p. 137-205 MR 1864833 | Zbl 1001.53059
[7] P. P. Boalch, “$G$-bundles, isomonodromy, and quantum Weyl groups”, Int. Math. Res. Not. (2002), p. 1129-1166, math.DG/0108152 MR 1904670 | Zbl 1003.58028
[8] P. P. Boalch, “Quasi-Hamiltonian geometry of meromorphic connections”, Duke Math. J. 139 (2007), p. 369-405, math.DG/0203161
arXiv | MR 2352135 | Zbl 1126.53055
[9] Pierre Deligne, Bernard Malgrange & Jean-Pierre Ramis, Singularités irrégulières, Documents Mathématiques (Paris), 5, Société Mathématique de France, 2007, Correspondance et documents MR 2387754 | Zbl 1130.14001
[10] N. J. Hitchin, “The self-duality equations on a Riemann surface”, Proc. London Math. Soc. (3) 55 (1987), p. 59-126 MR 887284 | Zbl 0634.53045
[11] Jean Martinet & Jean-Pierre Ramis, “Elementary acceleration and multisummability I”, Ann. Inst. H. Poincaré Phys. Théor. 54 (1991), p. 331-401
Numdam | MR 1128863 | Zbl 0748.12005
[12] Hiraku Nakajima, Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces, Moduli of vector bundles (Sanda, 1994; Kyoto, 1994), Dekker, 1996, p. 199–208 MR 1397988 | Zbl 0881.14006
[13] Carlos T. Simpson, “Harmonic bundles on noncompact curves”, J. Amer. Math. Soc. 3 (1990), p. 713-770 MR 1040197 | Zbl 0713.58012
[14] Carlos T. Simpson, The Hodge filtration on nonabelian cohomology, Algebraic geometry—Santa Cruz 1995, Amer. Math. Soc., 1997, p. 217–281 MR 1492538 | Zbl 0914.14003
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