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Stokes Matrix for the Quantum Cohomology of Cubic Surfaces

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arxiv math/0505350 v1 pith:EABJ73K2 submitted 2005-05-17 math.AG math.SG

Kazushi Ueda This is my paper · ORCID
classification math.AGmath.SG
keywords cubicsurfacescohomologymatrixquantumstokestoriccase
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We prove the conjectural relation between the Stokes matrix for the quantum cohomology and an exceptional collection generating the derived category of coherent sheaves in the case of smooth cubic surfaces. The proof is based on a toric degeneration of cubic surfaces, the Givental's mirror theorem for toric manifolds, and the Picard-Lefschetz theory.

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  1. Gamma conjecture II via global Gamma-I

    math.AG 2026-06 unverdicted novelty 7.0 of 10

    Proves Gamma conjecture II for del Pezzo surfaces by establishing a global Gamma-I property that propagates from one (SR) point and relating it to non-semisimple cases.

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