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Convergence of quantum cohomology by quantum Lefschetz

Hiroshi Iritani
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Abstract

Quantum Lefschetz theorem by Coates and Givental gives a relationship between the genus 0 Gromov-Witten theory of X and the twisted theory by a line bundle L on X. We prove the convergence of the twisted theory under the assumption that the genus 0 theory for original X converges. As a byproduct, we prove the semi-simplicity and the Virasoro conjecture for the Gromov-Witten theories of (not necessarily Fano) projective toric manifolds.

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Hiroshi Iritani. 2006-05-01. Convergence of quantum cohomology by quantum Lefschetz. https://doi.org/10.1515/crelle.2007

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