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Mathematische Zeitschrift

, Volume 273, Issue 1–2, pp 485–514 | Cite as

Gauged Gromov–Witten theory for small spheres

  • Eduardo Gonzalez
  • Chris WoodwardEmail author
Article

Abstract

We relate the genus zero gauged Gromov–Witten invariants of a smooth projective variety for sufficiently small area with equivariant Gromov–Witten invariants. As an application we deduce a gauged version of abelianization for Gromov–Witten invariants in the small area chamber. In the symplectic setting, we prove that any sequence of genus zero symplectic vortices with vanishing area has a subsequence that converges after gauge transformation to a holomorphic map with zero average moment map.

Keywords

Modulus Space Gauge Transformation Homology Class Witten Invariant Kirwan 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Massachusetts BostonBostonUSA
  2. 2.Mathematics-Hill Center, Rutgers UniversityPiscatawayUSA

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