Timeline for Mirror to the dualizing sheaf
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 20, 2012 at 15:27 | comment | added | Tim Perutz | You're welcome. You're referring, I take it, to the mirror symmetry between the Fukaya category of a Fano and matrix factorizations of its LG model. Since these Fanos are compact symplectic manifolds, their Fukaya categories are Calabi-Yau, i.e., the Serre functor is a shift w.r.t. the cyclic grading. Matrix factorizations also form a Calabi-Yau category. | |
| Feb 20, 2012 at 13:19 | vote | accept | user21485 | ||
| Feb 20, 2012 at 13:19 | comment | added | user21485 | Tim - thank you! This is very helpful and informative. A followup question - is it known what the Serre functor is for a component of the Fukaya category of \mathbb{C}P^2 corresponding to a given critical value of the superpotential? | |
| Feb 19, 2012 at 5:02 | history | answered | Tim Perutz | CC BY-SA 3.0 |