Gromov-Witten Gauge Theory I

Details Gromov-Witten Gauge Theory I Gromov-Witten Gauge Theory I

2009-04-30

arxiv.org/abs/0904.4834v2

Mathematics

Algebraic Geometry

v2: revised for clarity, 40 pages

Scientific paper

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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