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Article Dans Une Revue Annales de l'Institut Henri Poincaré Année : 2013

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

Résumé

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 compute the spectral curve of our matrix model and thus provide a matrix model derivation of the large volume limit of the BKMP "remodeling the B-model" conjecture, the claim that Gromov-Witten invariants of any toric Calabi-Yau threefold coincide with the spectral invariants of its mirror curve.
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Dates et versions

hal-00863595 , version 1 (19-09-2013)

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Bertrand Eynard, Amir-Kian Kashani-Poor, Olivier Marchal. A matrix model for the topological string II: The spectral curve and mirror geometry. Annales de l'Institut Henri Poincaré, 2013, 14 (1), pp.119-158. ⟨10.1007/s00023-012-0184-x⟩. ⟨hal-00863595⟩
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