Convergence of quantum cohomology by quantum Lefschetz

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dc.creatorIritani, Hiroshi
dc.date2005-06-13
dc.date2006-05-01
dc.date.accessioned2026-07-07T09:21:17Z
dc.date.available2026-07-07T09:21:17Z
dc.descriptionQuantum 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.
dc.description35pages; v2 minor changes, v3 changes in exposition in Introduction and section 3, added Corollary 6.9, v4 changes in exposition in section3, changes in notation: fundamental solution L is replaced with its inverse
dc.identifierhttps://arxiv.org/abs/math/0506236
dc.identifierhttp://arxiv.org/abs/math/0506236
dc.identifierJ. Reine Angew. Math. 610 (2007), pp.29--69
dc.identifierdoi:10.1515/CRELLE.2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154970
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject53D45, 14N35
dc.titleConvergence of quantum cohomology by quantum Lefschetz
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