ArXiv.org · 1997 · 70 citations · 10 references
Natural SciencesMathematicsPhysicsQuantum MechanicsTheoretical PhysicsTopologyAlgebraic GeometryCohomology TheorySymplectic GeometryToric GeometryComplete IntersectionsHypergeometric DistributionIntersection Theory On Toric VarietiesQuantum Cohomology
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. Revision 03.03.97: we correct an error in Introduction.
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Stacks of stable maps and Gromov-Witten invariants
Kai Behrend, Yu. I. Manin · Duke Mathematical Journal · 1996 · 319 citations