Verlinde formula in algebraic geometry

introduction

• Verlinde formula expresses the dimension of the space of global sections of the determinant line bundles (and its multiples) on the moduli space of vector bundles with fixed rank and determinant

expositions

• Beauville, Arnaud. ‘Vector Bundles on Curves and Theta Functions’. arXiv:math/0502179, 9 February 2005. http://arxiv.org/abs/math/0502179.
• Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003.
• Thaddeus, M. Conformal field theory and the cohomology of the moduli space of stable bundles, http://www.math.columbia.edu/~thaddeus/papers/conformal.pdf
• Bott, Raoul. ‘On E. Verlinde’s Formula in the Context of Stable Bundles’. International Journal of Modern Physics A 6 (1991): 2847–58. doi:10.1142/S0217751X91001404.

articles

• Beauville, Arnaud. 1996. “Conformal Blocks, Fusion Rules and the Verlinde Formula.” In Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), 9:75–96. Israel Math. Conf. Proc. Ramat Gan: Bar-Ilan Univ. http://www.ams.org/mathscinet-getitem?mr=1360497.
• Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33.
• Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374.
• Thaddeus, Michael. ‘Stable Pairs, Linear Systems and the Verlinde Formula’. Inventiones Mathematicae 117, no. 1 (1 December 1994): 317–53. doi:10.1007/BF01232244.