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Gromov-Witten Gauge Theory I

Algebraic Geometry 2016-01-13 v3 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra

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.

Keywords

Cite

@article{arxiv.0904.4834,
  title  = {Gromov-Witten Gauge Theory I},
  author = {Edward Frenkel and Constantin Teleman and A. J. Tolland},
  journal= {arXiv preprint arXiv:0904.4834},
  year   = {2016}
}

Comments

v3: Shorter, cleaner proof of main theorem. Accepted version

R2 v1 2026-06-21T12:56:54.252Z