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Commun. Korean Math. Soc. 2012; 27(3): 571-581

Printed September 1, 2012

https://doi.org/10.4134/CKMS.2012.27.3.571

Copyright © The Korean Mathematical Society.

Stable quasimaps

Bumsig Kim

Korea Institute for Advanced Study

Abstract

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The moduli spaces of stable quasimaps unify various moduli appearing in the study of Gromov-Witten theory. This note is a survey article on the moduli of stable quasimaps, based on papers [9, 11, 18] as well as the author's talk at Kinosaki Algebraic Geometry Symposium 2010.

Keywords: Gromov-Witten theory, GIT quotients, curves, twisted quiver bundles, symmetric obstruction theory

MSC numbers: Primary 14N35; Secondary 14H60

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