The genus zero Gromov-Witten invariants of the symmetric square of the plane (Q432556)
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scientific article; zbMATH DE number 6052974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The genus zero Gromov-Witten invariants of the symmetric square of the plane |
scientific article; zbMATH DE number 6052974 |
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The genus zero Gromov-Witten invariants of the symmetric square of the plane (English)
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4 July 2012
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The author studies the moduli space of orbifold stable maps to the stack symmetric square of \(\mathbb{P}^{2}\) (Abramovich-Vistoli moduli space) and its genus zero Gromov-Witten invariants. The author's approach is motivated by Graber's enumeration of hyperelliptic curves in \(\mathbb{P}^{2}\). Among other things, the author also verifies an example of the crepant resolution conjecture.
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Abramovich-Vistoli moduli space
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hyperelliptic curves
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Gromov-Witten invariants
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orbifold stable maps
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crepant resolution
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