Orbifold quantum Riemann-Roch, Lefschetz and Serre (Q1035303)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orbifold quantum Riemann-Roch, Lefschetz and Serre |
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Orbifold quantum Riemann-Roch, Lefschetz and Serre (English)
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2 November 2009
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The author aims to extend the quantum Riemann-Roch theorem given by Coates and Givental in Gromov-Witten theory to smooth Deligne-Mumford stacks. The orbifold GW invariants of a smooth Deligne-Mumford stack is defined. A quantum Lefschetz hyperplane theorem is also derived. In this paper, one can also find the relations between genus 0 GW invariants of Deligne-Mumford stacks and that of a complete intersection, with additional assumptions.
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quantum Rieman-Roch
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quantum Lefschetz
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quantum Serre
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Deligne-Mumford stack
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Gromov-Witten theory
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