Moduli stacks of stable toric quasimaps |
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Authors: | Ionu? Ciocan-Fontanine Bumsig Kim |
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Institution: | a School of Mathematics, University of Minnesota, 206 Church St. SE, Minneapolis, MN 55455, United States b School of Mathematics, Korea Institute for Advanced Study, 87 Hoegiro, Dongdaemun-gu, Seoul, 130-722, Republic of Korea |
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Abstract: | We construct new “virtually smooth” modular compactifications of spaces of maps from nonsingular curves to smooth projective toric varieties. They generalize Givental's compactifications, when the complex structure of the curve is allowed to vary and markings are included, and are the toric counterpart of the moduli spaces of stable quotients introduced by Marian, Oprea, and Pandharipande to compactify spaces of maps to Grassmannians. A brief discussion of the resulting invariants and their (conjectural) relation with Gromov-Witten theory is also included. |
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Keywords: | 14D20 14D23 14M25 14N35 |
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