27 citations · 27 across the 2 of their papers we have counts for
6 papers
Homological mirror symmetry for the symmetric squares of punctured spheres
Yanki Lekili, Alexander Polishchuk
For an appropriate choice of a -grading structure, we prove that the wrapped Fukaya category of the symmetric square of a -punctured sphere, i.e. the Weinstein m…
A symplectic look at the Fargues-Fontaine curve
Yanki Lekili, David Treumann
This paper discusses homological mirror symmetry for the Fargues-Fontaine curve of equal characteristic.
Homological mirror symmetry for Milnor fibers of simple singularities
Yanki Lekili, Kazushi Ueda
We prove homological mirror symmetry for Milnor fibers of simple singularities in dimensions greater than one, which are among the log Fano cases of Conjecture 1.5 in arXiv:1806.04…
The symplectic geometry of higher Auslander algebras: Symmetric products of disks
Tobias Dyckerhoff, Gustavo Jasso, Yanki Lekili
We show that the perfect derived categories of Iyama's -dimensional Auslander algebras of type are equivalent to the partially wrapped Fukaya categories of the -…
Homological mirror symmetry for higher dimensional pairs of pants
Yanki Lekili, Alexander Polishchuk
Using Auroux's description of Fukaya categories of symmetric products of punctured surfaces, we compute the partially wrapped Fukaya category of the complement of generic hyp…
Arithmetic mirror symmetry for the 2-torus
Yanki Lekili, Timothy Perutz
This paper explores a refinement of homological mirror symmetry which relates exact symplectic topology to arithmetic algebraic geometry. We establish a derived equivalence of the…