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.
|Original language||English (US)|
|Number of pages||30|
|State||Published - Feb 2013|
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