Quasimaps and stable pairs

Abstract: Quasimaps to Hilbert schemes of surfaces S resemble the Donaldson-Thomas theory of S times a curve. This correspondence can be made precise for the appropriate DT stability chamber, namely the so-called Bryan-Steinberg stable pairs. I will explain why BS pairs and quasimaps are equivalent whenever they are comparable. Quasimaps have been used recently to study 3d mirror symmetry, which when pushed through this equivalence has implications for some aspects of sheaf-counting theories, including the (DT) crepant resolution conjecture.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Comments: Zoom: 849 963 1368 Code: YMSC

Events Hub: Enumerative geometry