Stable quasimaps to holomorphic symplectic quotients
Algebraic Geometry
2014-04-08 v4 Mathematical Physics
math.MP
Symplectic Geometry
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 -stable framed twisted quiver bundles with moment map relations. We show that they carry symmetric obstruction theories and when 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.
Cite
@article{arxiv.1005.4125,
title = {Stable quasimaps to holomorphic symplectic quotients},
author = {Bumsig Kim},
journal= {arXiv preprint arXiv:1005.4125},
year = {2014}
}
Comments
To appear in the proceeding of MSJ-SI 2012 Schubert calculus in a volume of ASMP series, Some typos fixed