%0 Journal Article %T Stable quasimaps to holomorphic symplectic quotients %A Bumsig Kim %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1005.4125v4