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math.AG2024
Rabinowitz Fukaya categories as cluster categories
Yanki Lekili, Kazushi Ueda
We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of double suspensions of invertible polynomials, and prove it for Brieskorn--Pham polynomia…
math.AG2021
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…
math.AG2020
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…