Stable quasimaps to holomorphic symplectic quotients

Abstract

We study the moduli space of twisted quasimaps from a fixed smooth projective curve to a Nakajima's quiver variety and the moduli space of $\delta$-stable framed twisted quiver bundles with moment map relations. We show that they carry symmetric obstruction theories and when $\delta$ is large enough, they exactly coincide. These results generalize works of D.E. Diaconescu about the ADHM quiver, in the framework of the quasimap theory of I. Ciocan-Fontanine, D. Maulik and the author.

To appear in the proceeding of MSJ-SI 2012 Schubert calculus in a volume of ASMP series, Some typos fixed

References in corpus (3)

• Moduli stacks of stable toric quasimaps
• Lectures on Nakajima's Quiver Varieties
• Chamber Structure and Wallcrossing in The ADHM Theory of Curves I

Cited by in corpus (2)

• Chamber Structure and Wallcrossing in The ADHM Theory of Curves I
• Wall-crossings for Twisted Quiver Bundles