Chapter

Topological Field Theory, Primitive Forms and Related Topics

Volume 160 of the series Progress in Mathematics pp 141-175

A Mirror Theorem for Toric Complete Intersections

  • Alexander GiventalAffiliated withUniversity of California at Berkeley

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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.