Resolution of Diagonals and Moduli Spaces

TL;DR

This paper introduces a canonical geometric framework for differential operators on moduli spaces, enhancing understanding of their structure and properties in algebraic geometry.

Contribution

It provides a new geometric description of differential operators on moduli spaces using distinguished completions of configuration spaces.

Findings

Canonical description of differential operators on moduli spaces

Connection between geometry of configuration space and differential operators

Framework applicable to various types of moduli spaces

Abstract

In this paper differential operators on various moduli spaces (e.g. of holomorphic vector bundles) are described in a canonical way in terms of the geometry of a certain distinguished completion of an appropriate configuration space.