Stable and unitary vector bundles on a compact Riemann surface

Narasimhan, Mudumbai Seshachalu Seshadri, Conjeeveram S. Stable and unitary vector bundles on a compact Riemann surface Ann. of Math., 82 1965 184252 Le Potier, Joseph Fibrés vectoriels sur les courbes algébriques Publications Mathématiques de l'Université Paris 7 Denis Diderot, 35 Université Paris 7 Denis Diderot, 1995 1370930 Drézet, Jean-Marc Narasimhan, Mudumbai Seshachalu Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques Invent. Math., 97 1989 999313 Bhosle, Usha N. Generalized parabolic bundles and applications. II Proc. Indian Acad. Sci. Math. Sci., 106, 403-420 Springer India, 1996 1425615 Sorger, Christoph Lectures on moduli of principal $G$-bundles over algebraic curves School on Algebraic Geometry, Trieste, ICTP Lecture Notes Abdus Salam Int. Cent. Theoret. Phys., 2000 1795860 Heinloth, Jochen Uniformization of G-bundles 0711.4450 Narasimhan, Mudumbai Seshachalu Ramanan, Sundararaman Deformations of the Moduli Space of Vector Bundles Over an Algebraic Curve Ann. of Math. (2), 101, 3, pp 391-417 Princeton, 1975 384797 Pauly, Christian Self-duality of Coble's quartic hypersurface and applications Michigan Mathematical Journal, 50, 551-574 2002 math/0109218 1080.14528 Beauville, Arnaud Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta Bulletin de la SMF, 116, pp 431-448 SMF, 1988 1005388 Beauville, Arnaud Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta, II Bulletin de la SMF, 119, pp 259-291 SMF, 1991 1125667 Laszlo, Yves About $G$-bundles over elliptic curves Annales de l'Institut Fourier, 48 Institut Fourier, 1998 1625614 Desale, Usha V. Ramanan, Sundararaman Classification of vector bundles of rank 2 on hyperelliptic curves Inventiones Mathematicae, 38, pp161-185 Springer, 1976-1977 429897 Ramanan, Sundararaman Orthogonal and spin bundles over hyperelliptic curves Geometry and Analysis, Proceedings of the Indian Academy of Sciences, 90, 2, pp151-166 Springer India, 1981 592259 Bhosle, Usha N. Moduli of orthogonal and spin bundles over hyperelliptic curves Compositio Math., 51, 1, pp 15-40 1984 734782 Abe, Takeshi Anticanonical divisors of a moduli space of parabolic vector bundles of half weight on P¹ Asian J. Math., 8, n°3, pp 395-408 International Press, 2004 2129242 Newstead, Peter E. Rationality of moduli spaces of stable bundles Math. Ann., 215, pp 251-268 Springer, 1975 (erratum : Math. Ann. 249, pp 281-282, 1980 0579107 Boden, Hans U. Yokogawa, Kōji Rationality of moduli spaces of parabolic bundles J. London Math. Soc. (2), 59, pp 461-478 Cambridge University Press, 1999 alg-geom/9610013 1709179 Schofiled, Aiden King, Alastair Rationality of moduli of vector bundles on curves Indag. Math., 10, pp 519-535 Elsevier, 1999 alg-geom/9907068 1820549 Hoffmann, Norbert Rationality and Poincaré families for vector bundles with extra structure on a curve Int. Math. Res. Not. IMRN, 3 2007 math/0511656 2337034 Biswas, Indranil Hoffmann, Norbert Some moduli stacks of symplectic bundles on a curve are rational math/0604183 Beauville, Arnaud Laszlo, Yves Conformal blocks and generalized theta functions Communications in Mathematical Physics, 164 1994 alg-geom/9309003 1289330 Faltings, Gerd A proof for the Verlinde formula Journal of Algebraic Geometry, 3 1994 1257326 Tsuchiya, Akihiro Ueno, Kenji Yamada, Yasuhiko Conformal field theory on universal family of stable curves with gauge symmetries Adv. Stud. Pure Math., 19 (Integrable systems in quantum field theory and statistical mechanics) Academic Press, 1989 1048605 Ramadas, T.R. The "Harder-Narasimhan Trace" and Unitarity of the Hitchin connection Ann. of Math. To appear... Looijenga, Eduard J. N. Varchenko, Alexander Unitarity of SL(2) conformal blocks in genus zero 0810.4310 Beauville, Arnaud Vector bundles on curves and theta functions Moduli spaces and arithmetic geometry, Advanced Studies in Pure Mathmatics, 45, pp 145-156 Mathematical Society of Japan, Tokyo, 2006 math/0502179 2310248 Beauville, Arnaud Vector bundles on curves and generalized theta functions: recent results and open problems Current topics in complex algebraic geometry, Math. Sci. Res. Inst. Publ., 28 Cambridge Univ. Press, 1995 alg-geom/9404001 1397056 Laszlo, Yves Un théorème de Riemann pour les diviseurs thêta sur les espaces de modules de fibrés stables sur une courbe Duke Mathematical Journal, 64, pp 333-347 Duke, Nov 1991 1136379 Belkale, Prakash The strange duality conjecture for generic curves J. Amer. Math. Soc., 21, 1, pp 235-258 AMS, 2008 math/0602018 2350055 Marian, Alina Oprea, Dragos The level-rank duality for non-abelian theta functions Invent. Math., 168, 2, pp 225-247 Springer, 2007 math/0605097 2289865 Abe, Takeshi Strange duality for parabolic symplectic bundles on a pointed projective line Int. Math. Res. Not., 2008, 121, 47pp Oxford University Press, 2008 2448083 Lange, Herbert Narasimhan, Mudumbai Seshachalu Maximal Subbundles of Rank Two Vector Bundles on Curves Mathematische Annalen, 266, 55-72 Springer-Verlag, 1983 722927 Oxbury, William M. Pauly, Christian Previato, Emma Subvarieties of SU_C(2) and 2θ-divisors in the Jacobian Transactions of the AMS, 350, 3587-3614 AMS, 1998 alg-geom/9701010 1467474 0898.14014 Oxbury, William M. Varieties of maximal subbundles Math. Proc. Cambridge Phil. Society, 129, 9-18 2002 1757774 Lange, Herbert Newstead, P. E. Maximal subbundles and Gromov-Witten Invariants 2002 math/0204216 Choe, Insong Choy, Jaeyoo Park, Seongsuk Maximal line subbundles of stable bundles of rank 2 over an algebraic curve Geom Dedicata, 125, 191-202 Springer-Verlag, 2007 2322548 1126.14042 Thaddeus, Michael Stable pairs, linear systems and the Verlinde formula Invent. Math., 117, n°2, pp 317-353 Springer, 1994 alg-geom/9210007 1273268 Bertram, Aaron Daskalopoulos, Georgios Wentworth, Richard Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians J. Amer. Math. Soc., 9, n°2, pp 529-571 AMS, 1996 alg-geom/9306005 1320154 Bradlow, Steven B. García-Prada, Oscar Stable triples, equivariant bundles and dimensional reduction Math. Ann., n°2, 304, pp225-252 Springer-Verlag, 1996 alg-geom/9401008 1371765 Bradlow, Steven B. García-Prada, Oscar Gothen, Peter B. Moduli spaces of holomorphic triples over compact Riemann surfaces Math. Ann., 328, n°1-2, pp299-351 Springer-Verlag, 1996 math/0211428 2030379 Schmitt, Alexander H.W. A universal construction for moduli spaces of decorated vector bundles over curves Transform. Groups, 9, n°2, pp 167-209 Birkhäuser, 2004 math/0006029 2056535