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

14 votes

Mirror symmetry for hyperkahler manifold

Thanks, YangMills, for the references to my papers. I want to elaborate, because I disagree with the statement that mirror symmetry is given by hyperkahler rotation. It may be the case for certain cho …
Mark Gross's user avatar
6 votes
Accepted

Question about the Aganagic-Vafa A-brane

I believe that the special Lagrangians that Aganagic-Vafa want to consider are contained in special fibres of the Harvey-Lawson fibration. First, we had better take $k=0$ in your equations, since othe …
Mark Gross's user avatar
4 votes

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

The crucial point for the second question is the following. In arbitrary dimension, it is not true that $\pi^{-1}(B_0)$ and $\pi^{-1}(B_0)^{\vee}$ are homeomorphic as fibre bundles. This is essentiall …
Mark Gross's user avatar
3 votes

SYZ mirror symmetry for K3 surfaces

My answer in the link given above is purely at a topological level, saying that if we have a $T^2$-fibration, the dual is canonically homeomorphic. However, $T$-duality should also be viewed as excha …
Mark Gross's user avatar