The twistor transform of a Verlinde formula

TL;DR

This paper explores the relationship between the topology of the moduli space of stable rank 2 bundles over a genus 3 Riemann surface and the real Grassmannian Gr_4(R^8), revealing new geometric connections.

Contribution

It establishes a novel link between the topology of certain moduli spaces and real Grassmannians through the twistor transform of a Verlinde formula.

Findings

Topological correspondence between moduli space and Grassmannian

Application of twistor transform to Verlinde formula

New geometric insights into bundle moduli spaces

Abstract

The topology of the smooth moduli space of stable rank 2 bundles over a Riemann surface of genus 3 is related to that of the real Grassmannian Gr_4(R^8).