@article{RCP25_1993__45__43_0,
author = {Schottenloher, Martin},
title = {Metaplectic {Quantization} of the {Moduli} {Spaces} of {Flat} and {Parabolic} {Bundles}},
journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
note = {talk:5},
pages = {43--70},
year = {1993},
publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
volume = {45},
language = {en},
url = {https://www.numdam.org/item/RCP25_1993__45__43_0/}
}
TY - JOUR AU - Schottenloher, Martin TI - Metaplectic Quantization of the Moduli Spaces of Flat and Parabolic Bundles JO - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 N1 - talk:5 PY - 1993 SP - 43 EP - 70 VL - 45 PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur UR - https://www.numdam.org/item/RCP25_1993__45__43_0/ LA - en ID - RCP25_1993__45__43_0 ER -
%0 Journal Article %A Schottenloher, Martin %T Metaplectic Quantization of the Moduli Spaces of Flat and Parabolic Bundles %J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 %Z talk:5 %D 1993 %P 43-70 %V 45 %I Institut de Recherche Mathématique Avancée - Université Louis Pasteur %U https://www.numdam.org/item/RCP25_1993__45__43_0/ %G en %F RCP25_1993__45__43_0
Schottenloher, Martin. Metaplectic Quantization of the Moduli Spaces of Flat and Parabolic Bundles. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de P. Cartier, P. Di Francesco, J. Fröhlich, P. Hello, Ch. Kassel, V. Kharlamov, B. Khesin, J. Magnen, M. Rabaud, M. Schottenloher, Tome 45 (1993), Exposé no. 5, 28 p.. https://www.numdam.org/item/RCP25_1993__45__43_0/
Ash : New Hamiltonian Formalism of General Relativity. Phys. Rev. D36 (1987), 1587-1602. | MR
AtB / : The Yang-Mills Equations over Riemann Surfaces. Philos. Trans. Royal Soc. London A 308 (1982), 523-615. | Zbl | MR
Ati : The Geometry and Physics of Knots. Cambridge: Cambridge Univ. Press, 1991. | Zbl | MR
APW , / , / : Geometric Quantization of Chern-Simons Gauge Theory. J. Differential Geometry 33 (1991), 787-902. | Zbl | MR
Bau : Parabolic Bundles, Elliptic Surfaces and SU(N)-Representations of Genus Zero Fuchsian Groups. Math. Ann. 290 (1991), 509-526. | Zbl | MR | EuDML
BeL / : Conformal Blocks and Generalized Theta Functions. Preprint (Orsay 93-52, 1993). | Zbl
BNR / / : Spectral Curves and the Generalized Theta Divisor. J. reine angew. Math. 398 (1989), 169-179. | Zbl | MR | EuDML
BiF / : The Analysis of Elliptic Families I. Commun. Math. Phys. 106 (1986), 159-176. | Zbl | MR
BiG / : Principal Bundles on Open Surfaces and Invariant Functions on Lie Groups. Intern. J. Math. 4 (1993), 535-544. | Zbl | MR
BPV / / : Compact Complex Surfaces. Berlin: Springer-Verlag, 1984. | Zbl | MR
Cor : Flat G-Bundles with Canonical Metrics. J. Differential Geometry 28 (1988), 361-382. | Zbl | MR
Do1 : Anti-Self-Dual Yang-Mills Connections over Complex Algebraic Surfaces and Stable Vector Bundles. Proc. London Math. Soc. 50 (1985), 1-26. | Zbl | MR
Do2 : Infinite Determinants, Stable Bundles and Curvature. Duke Math. J. 54 (1987), 231-247. | Zbl | MR
DrN / : Groupes de Picard des variétés de modules de fibres semi-stables sur les courbes algébriques. Invent, math. 97 (1989), 53-94. | Zbl | MR
Fal : Stable G-Bundles and Projective Connections. J. Algebraic Geometry 2 (1993), 507-568. | Zbl | MR
Fuj : Hyperkdhler Structure on the Moduli Space of Flat Bundles. In: Prospects in Complex Geometry. Proceedings, Katata/Kyoto (Eds. NOGUCHI, J. / OHSAWA, T.), 1-83. Lect. Notes in Meth. 1468, New York, Springer-Verlag, 1991. | Zbl | MR
Hi1 : The Self-Duality Equations on a Riemann Surface. Proc. London Math. Soc. 55 (1987), 59-126. | Zbl | MR
: Stable Bundles and Integrable Connections. Duke Math. J. 54 (1987), 91-114. | Zbl | MR
Hi2 : Flat Connections and Geometric Quantization. Commun. Math. Phys. 131 (1990) 347-380. | Zbl | MR
HKLR / / / : Hyperkähler Metrics and Super symmetry. Commun. Math. Phys. 108 (1987), 535-589. | Zbl | MR
HOM / / / / / : A New Polynomial Invariant of Knots and Links. Bull. Amer. Math. Soc. 12 (1985), 239-245. | Zbl | MR
Ish : Loop Algebras and Canonical Quantum Gravity. In: Mathematical Aspects of Classical Field Theory (Eds. GOTAY, J.M. et alii), 419-138. Contemporary Mathematics 132, Providence, Amer. Math. Soc. 1992. | Zbl | MR
Jo1 : Hecke Algebra Representations of Braid Groups and Link Polynomials. Ann. Math. 126 (1984), 59-126. | Zbl | MR
Jo2 : From Quantum Theory to Knot Theory and Back: A von Neumann Algebra Excursion. In: Proceedings of the AMS Centennial Symposium 1988, 321-337. Providence, Amer. Math. Soc. 1992. | Zbl | MR
Kau : State Models and the Jones Polynomial. Topology 26 (1987), 395-401. | Zbl | MR
Lol : Chromodynamics and Gravity as Theorems on Loop Space. Preprint CGPG-93/9-1, Pennsylvania State University, 1993. | MR
MeS / : Moduli of Vector Bundles on Curves with Parabolic Structure. Math. Ann. 248 (1980), 205-239. | Zbl | MR
NaS / : Stable and Unitary Vector Bundles on a Compact Riemann Surface. Ann. Math. 82 (1965), 540-567. | Zbl | MR
Sch : Metaplectic Quantization of the Moduli Spaces of Flat and Parabolic Bundles. Dissertation, Universität München, Jan. 1992. Submitted for publication in J. reine angew. Math.
Si1 : Constructing Variations of Hodge Structurs Using Yang- Mills Theory and Applications to Uniformization. J. Amer. Math. Soc. 1 (1988), 867-918. | Zbl | MR
Si2 : Harmonic Bundles on Noncompact Curves. J. Amer. Math. Soc. 3 (1990), 713-770. | Zbl | MR
Si3 : Higgs Bundles and Local Systems. Publ. Math. IHES (1992), 5-95 | Zbl | MR | Numdam
Si4 : Moduli of Representations of the Fundamental Group of a Smooth Projective Variety I and II. Preprints 1993. | Zbl | MR | Numdam
TUY / / : Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries. Adv. Studies in Pure Math. 19 (1989), 459-566. | Zbl | MR
Ue : On the Diffeomorphism Types of Elliptic Surfaces with Multiple Fibers. Invent. math. 84 (1986), 633-643. | Zbl | MR
UhY / : On the Existence of Hermitian-Yang-Mills Connections in Stable Vector Bundles. Commun. Pure Appl. Math. 39 S (1986), 257-293. | Zbl | MR
Wit : Quantum Field Theory and the Jones Polynomial. Commun. Math. Phys. 100 (1989), 351-399. | Zbl | MR
Woo : Geometric Quantization. Oxford: Clarendon Press, 1980. | Zbl | MR






