Verlinde formula in algebraic geometry

introduction

• Verlinde formula expresses the dimension of a certain line bundle over the moduli space of curves of genus $g$

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.

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.