Factorization of rank two theta functions II: proof of the Verlinde formula

G. Daskalopoulos and R. Wentworth

In this paper we show how the arguments of an earlier work by the same authors may be extended to prove a general result concerning the factorization of holomorphic sections of line bundles on the moduli spaces of rank two parabolic bundles on Riemann surfaces. This is the inductive step needed to prove the celebrated Verlinde formula.