Stable quasimaps to GIT quotients

2011/06/19 by Ciocan-Fontanine, Ionut, Kim, Bumsig, Maulik, Davesh · 7 citations
#14D20 #14D23 #14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1106.3724

Abstract

We construct new compactifications with good properties of moduli spaces of maps from nonsingular marked curves to a large class of GIT quotients. This generalizes from a unified perspective many particular examples considered earlier in the literature.

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• Slant sums of quiver gauge theories
• Quantum Adams operations in quasimap K-theory
• Weyl-invariant subspaces are (usually) not generic
• Relative Quasimaps and Tilting Module of U(\mathfrakgl_n)

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