NOTES ON YOSHIDA’S COORDINATES ON HITCHIN’S PRYM COVER
SØREN KOLD HANSEN, DANIEL MOSKOVICH
Abstract
As the first stage of his proposed geometric quantization of the WZW model, T. Yoshida introduced coordinates on a Prym variety which covers the moduli space of semi-stable rank 2 vector bundles with trivial determinant over a Riemann surface [13]. We explain Yoshida’s coordinates, and reprove their key properties using elementary combinatorial arguments.