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Hamiltonian systems, symplectic flows, classical integrable systems

18 votes
Accepted

Finite fundamental groups of 3-dimensional Calabi-Yau manifolds

This intuition seems to be only loosely right. There are many smooth compact CY threefolds with large fundamental groups. For instance $\mathbb{Z}/3\times \mathbb{Z}/3$, $\mathbb{Z}/8\times \mathbb{Z …
Tony Pantev's user avatar
  • 6,239
5 votes
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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