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Use for questions about mirror symmetry in theoretical/mathematical physics.

12 votes
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Mirror of local Calabi-Yau

The physicists (see e.g. this paper of Aganagic and Vafa) will write the mirror as a threefold $X$ which is an affine conic bundle over the holomorphic symplectic surface $\mathbb{C}^{\times}\times \ …
Tony Pantev's user avatar
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5 votes
Accepted

Mirror symmetry for singular Lagrangian torus fibrations

Yes, there is a concrete program on how to handle singular fibers in the SYZ fibration and several steps of this program are already completed. You can watch the videos of Abouzaid lectures on the su …
Tony Pantev's user avatar
  • 6,239
2 votes

A question on the topological change of dualizing a SLAG fibration.

I am not completely sure what is meant by this statement since the topology of the torus fibration certainly changes if the fibration doesn't have a section. If on the other hand we follow your prescr …
Tony Pantev's user avatar
  • 6,239