Moduli stacks of stable toric quasimaps
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...
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| Veröffentlicht in: | arXiv.org 2011-07 |
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| creator | Ciocan-Fontanine, Ionut Kim, Bumsig |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.0908.4446 |
| format | Article |
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| subjects | Mathematics - Algebraic Geometry Modular construction Quotients |
| title | Moduli stacks of stable toric quasimaps |
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