A matrix model for the topological string II: The spectral curve and mirror geometry

Abstract

In a previous paper, we presented a matrix model reproducing the topological string partition function on an arbitrary given toric Calabi-Yau manifold. Here, we study the spectral curve of our matrix model and thus derive, upon imposing certain minimality assumptions on the spectral curve, the large volume limit of the BKMP "remodeling the B-model" conjecture, the claim that Gromov-Witten invariants of any toric Calabi-Yau 3-fold coincide with the spectral invariants of its mirror curve.

1+37 pages

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Cited by in corpus (5)

• Matrix models from operators and topological strings
• Topological string amplitudes for the local half K3 surface
• Quantum curves and conformal field theory
• Geometry and Combinatorics of Crystal Melting
• Matrix Model and Refined Wall-Crossing Formula