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.
Stokes Matrix for the Quantum Cohomology of Cubic Surfaces
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abstract
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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2026 1verdicts
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Gamma conjecture II via global Gamma-I
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.