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A mirror theorem for toric complete intersections

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arxiv alg-geom/9701016 v2 pith:JW3B3R2K submitted 1997-01-27 alg-geom math.AG

Alexander Givental (UC Berkeley) This is my paper · ORCID
classification alg-geommath.AG
keywords completeintersectionsmirrortoriccohomologyconjecturecorrectdescribing
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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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  1. A Vafa-Intriligator formula for semi-positive quotients of linear spaces

    math.AG 2025-05 conditional novelty 5.0 of 10

    The paper proves Vafa-Intriligator formulas for genus zero quasimap invariants of smooth semi-positive GIT quotients V//G by reducing them to toric computations via abelianization.

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