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.

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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. http://geodesic.mathdoc.fr/item/RCP25_1993__45__43_0/

Ash Ashtekar, A.A.: New Hamiltonian Formalism of General Relativity. Phys. Rev. D36 (1987), 1587-1602. | MR

AtB Atiyah, M. / Bott, R.: The Yang-Mills Equations over Riemann Surfaces. Philos. Trans. Royal Soc. London A 308 (1982), 523-615. | Zbl | MR

Ati Atiyah, M.: The Geometry and Physics of Knots. Cambridge: Cambridge Univ. Press, 1991. | Zbl | MR

APW Axelrod, / Della Pletra, / Witten, E.: Geometric Quantization of Chern-Simons Gauge Theory. J. Differential Geometry 33 (1991), 787-902. | Zbl | MR

Bau Bauer, S.: Parabolic Bundles, Elliptic Surfaces and SU(N)-Representations of Genus Zero Fuchsian Groups. Math. Ann. 290 (1991), 509-526. | Zbl | MR | EuDML

BeL Beauville, A. / Lazlo. Y. : Conformal Blocks and Generalized Theta Functions. Preprint (Orsay 93-52, 1993). | Zbl

BNR Beauville, A. / Narasimhan, M. / Ramanan, S.: Spectral Curves and the Generalized Theta Divisor. J. reine angew. Math. 398 (1989), 169-179. | Zbl | MR | EuDML

BiF Bismut, J. / Freed, D.: The Analysis of Elliptic Families I. Commun. Math. Phys. 106 (1986), 159-176. | Zbl | MR

BiG Biswas, I. / Guruprasad, K.: Principal Bundles on Open Surfaces and Invariant Functions on Lie Groups. Intern. J. Math. 4 (1993), 535-544. | Zbl | MR

BPV Barth, W. / Peters, C. / Van De Ven, A.: Compact Complex Surfaces. Berlin: Springer-Verlag, 1984. | Zbl | MR

Cor Corlette, K. : Flat G-Bundles with Canonical Metrics. J. Differential Geometry 28 (1988), 361-382. | Zbl | MR

Do1 Donaldson, S. K.: 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 Donaldson, S. K.: Infinite Determinants, Stable Bundles and Curvature. Duke Math. J. 54 (1987), 231-247. | Zbl | MR

DrN Drezet, J. M. / Narasimhan, M. S.: Groupes de Picard des variétés de modules de fibres semi-stables sur les courbes algébriques. Invent, math. 97 (1989), 53-94. | Zbl | MR

Fal Faltings, G.: Stable G-Bundles and Projective Connections. J. Algebraic Geometry 2 (1993), 507-568. | Zbl | MR

Fuj Fujiki, A: 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 Hitchin, N. J.: The Self-Duality Equations on a Riemann Surface. Proc. London Math. Soc. 55 (1987), 59-126. | Zbl | MR

Hitchin, N. J.: Stable Bundles and Integrable Connections. Duke Math. J. 54 (1987), 91-114. | Zbl | MR

Hi2 Hitchin, N. J.: Flat Connections and Geometric Quantization. Commun. Math. Phys. 131 (1990) 347-380. | Zbl | MR

HKLR Hitchin, N. J. / Karlhede, A. / Lindström, U. / Rocek, M. : Hyperkähler Metrics and Super symmetry. Commun. Math. Phys. 108 (1987), 535-589. | Zbl | MR

HOM Hoste, J. / Ocneanu, A. / Millett, K. / Freyd, P. / Lickorish, W.B.R. / Yetter, D.: A New Polynomial Invariant of Knots and Links. Bull. Amer. Math. Soc. 12 (1985), 239-245. | Zbl | MR

Ish Isham, C. J.: 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 Jones, V. F. R.: Hecke Algebra Representations of Braid Groups and Link Polynomials. Ann. Math. 126 (1984), 59-126. | Zbl | MR

Jo2 Jones, V.F.R.: 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 Kauffman, L.: State Models and the Jones Polynomial. Topology 26 (1987), 395-401. | Zbl | MR

Lol Loll, R.: Chromodynamics and Gravity as Theorems on Loop Space. Preprint CGPG-93/9-1, Pennsylvania State University, 1993. | MR

MeS Mehta, V. B. / Seshadri, O. S.: Moduli of Vector Bundles on Curves with Parabolic Structure. Math. Ann. 248 (1980), 205-239. | Zbl | MR

NaS Narasimhan, M. S. / Seshadri, C. S.: Stable and Unitary Vector Bundles on a Compact Riemann Surface. Ann. Math. 82 (1965), 540-567. | Zbl | MR

Sch Scheinost, P.: 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 Simpson, C.: Constructing Variations of Hodge Structurs Using Yang- Mills Theory and Applications to Uniformization. J. Amer. Math. Soc. 1 (1988), 867-918. | Zbl | MR

Si2 Simpson, C.: Harmonic Bundles on Noncompact Curves. J. Amer. Math. Soc. 3 (1990), 713-770. | Zbl | MR

Si3 Simpson, C.: Higgs Bundles and Local Systems. Publ. Math. IHES (1992), 5-95 | Zbl | MR | mathdoc-id

Si4 Simpson, C.: Moduli of Representations of the Fundamental Group of a Smooth Projective Variety I and II. Preprints 1993. | Zbl | MR | mathdoc-id

TUY Tsuchiya, A. / Ueno, K. / Yamada, Y. : Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries. Adv. Studies in Pure Math. 19 (1989), 459-566. | Zbl | MR

Ue Ue, M.: On the Diffeomorphism Types of Elliptic Surfaces with Multiple Fibers. Invent. math. 84 (1986), 633-643. | Zbl | MR

UhY Uhlenbeck, K. / Yau, S.: On the Existence of Hermitian-Yang-Mills Connections in Stable Vector Bundles. Commun. Pure Appl. Math. 39 S (1986), 257-293. | Zbl | MR

Wit Witten, E.: Quantum Field Theory and the Jones Polynomial. Commun. Math. Phys. 100 (1989), 351-399. | Zbl | MR

Woo Woodhouse, N.: Geometric Quantization. Oxford: Clarendon Press, 1980. | Zbl | MR