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June 2015 Quantum reconstruction for Fano bundles on projective space
Andrew Strangeway
Nagoya Math. J. 218: 1-28 (June 2015). DOI: 10.1215/00277630-2817545

Abstract

We present a reconstruction theorem for Fano vector bundles on projective space which recovers the small quantum cohomology for the projectivization of the bundle from a small number of low-degree Gromov–Witten invariants. We provide an extended example in which we calculate the quantum cohomology of a certain Fano 9-fold and deduce from this, using the quantum Lefschetz theorem, the quantum period sequence for a Fano 3-fold of Picard rank 2 and degree 24. This example is new, and is important for the Fanosearch program.

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Andrew Strangeway. "Quantum reconstruction for Fano bundles on projective space." Nagoya Math. J. 218 1 - 28, June 2015. https://doi.org/10.1215/00277630-2817545

Information

Published: June 2015
First available in Project Euclid: 7 November 2014

zbMATH: 1327.14236
MathSciNet: MR3345622
Digital Object Identifier: 10.1215/00277630-2817545

Subjects:
Primary: 14N35 , 53D45
Secondary: 14J45

Rights: Copyright © 2015 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
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Vol.218 • June 2015
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