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Part of the book series: Progress in Mathematics ((PM,volume 160))

Abstract

We prove a generalized mirror conjecture for non-negative complete intersections in symplectic toric manifolds. Namely, we express solutions of the PDE system describing quantum cohomology of such a manifold in terms of suitable hypergeometric functions.

Research is partially supported by Alfred P. Sloan Foundation and by NSF grant DMS-9321915.

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Givental, A. (1998). A Mirror Theorem for Toric Complete Intersections. In: Kashiwara, M., Matsuo, A., Saito, K., Satake, I. (eds) Topological Field Theory, Primitive Forms and Related Topics. Progress in Mathematics, vol 160. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0705-4_5

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  • DOI: https://doi.org/10.1007/978-1-4612-0705-4_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6874-1

  • Online ISBN: 978-1-4612-0705-4

  • eBook Packages: Springer Book Archive

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