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Gromov-Witten Gauge Theory I

Published 30 Apr 2009 in math.AG, hep-th, math-ph, math.MP, and math.QA | (0904.4834v3)

Abstract: We introduce a geometric completion of the stack of maps from stable marked curves to the quotient stack [point/GL(1)], and use it to construct some gauge-theoretic analogues of the Gromov-Witten invariants. We also indicate the generalization of these invariants to the quotient stacks [X/GL(1)], where X is a smooth proper complex algebraic variety.

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