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Article overview
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Local Calabi-Yau manifolds of affine type A and open Yau-Zaslow formula via SYZ mirror symmetry | Atsushi Kanazawa
; Siu-Cheong Lau
; | Date: |
2 May 2016 | Abstract: | We construct SYZ mirrors of the local Calabi-Yau manifolds of affine type A
by developing an equivariant SYZ theory for the toric Calabi-Yau manifolds of
infinite-type. The equations for the SYZ mirrors involve the Riemann theta
functions and generating functions of the open Gromov-Witten invariants. We
obtain explicit formulae for the generating functions which are open analogs of
the Yau-Zaslow formula in dimension 2, and show that they have nice modular
properties. We also relate the SYZ pairs with mirror symmetry for the abelian
varieties and hypersurfaces therein. | Source: | arXiv, 1605.0342 | Services: | Forum | Review | PDF | Favorites |
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