Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces

TL;DR

This paper develops a finite-dimensional approach to constructing self-duality and related moduli spaces over closed Riemann surfaces, representing them as stratified holomorphic symplectic spaces via singular reduction.

Contribution

It introduces a finite-dimensional construction method for these moduli spaces using extended moduli spaces and holomorphic symplectic reduction, offering a new perspective.

Findings

Constructs moduli spaces as stratified holomorphic symplectic spaces

Uses singular finite-dimensional holomorphic symplectic reduction

Provides a finite-dimensional framework for self-duality moduli spaces

Abstract

In terms of appropriate extended moduli spaces, we develop a finite-dimensional construction of the self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces by singular finite-dimensional holomorphic symplectic reduction.