Intersection numbers on moduli spaces and symmetries of a Verlinde formula

We investigate the geometry and topology of a standard moduli space of stable bundles on a Riemann surface, and use a generalization of the Verlinde formula to derive results on intersection pairings.Comment: AMSLaTex, 15 pages with 1 figur

A formula for the trace of symmetric powers of matrices

We present a formula for the trace of any symmetric power of a $n\times n$ matrix (with coefficients in a field) in terms of the ordinary powers of the matrix, an arbitrarily chosen linear function which vanishes on the identity matrix, and $n-2$ polynomial functions defined recursively