Many moduli spaces (for example, of instantons or vacua) appearing in supersymmetric field theories admit modular compactifications with especially good properties. I will outline a general strategy, built on pioneering work of Beauville, Markman, and others, for describing generators of topological and and categorical invariants associated to such moduli spaces. To illustrate, I will describe joint work with K. McGerty that applies the strategy to prove “Kirwan surjectivity” for Nakajima quiver varieties. Work in progress with McGerty derives general statements (of which the quiver variety results are a special case) applicable to many 3d N=4 settings.
Tuesday, October 17, 2017 - 4:30pm