Hyperkahler implosion and Nahm's equations

TL;DR

This paper explores the use of Nahm data to describe a potential universal hyperkähler implosion associated with a compact Lie group, advancing understanding in geometric representation theory.

Contribution

It introduces a novel approach linking Nahm's equations to hyperkähler implosion, providing a new framework for studying these geometric structures.

Findings

Proposes a candidate for the universal hyperkähler implosion.

Connects Nahm data with hyperkähler geometry.

Lays groundwork for future research in geometric representation theory.

Abstract

We use Nahm data to give a description of a candidate for the universal hyperkahler implosion with respect to a compact Lie group