3 papers
math.SG2026
Curves on surfaces and moduli of associative algebras
Yanki Lekili
Given an immersion of a circle in a punctured surface , we give an explicit (and finite) computation of the -algebra associated with this curve when viewed as an obje…
math.SG2025
Noncommutative crepant resolutions of singularities via Fukaya categories
Jonathan David Evans, Yanki Lekili
We compute the wrapped Fukaya category of a cylinder relative to a divisor of points, proving a mirror equivalence with the ca…
math.SG2024
Deformations of Kalck--Karmazyn algebras via Mirror Symmetry
Yanki Lekili, Jenia Tevelev
As observed by Kawamata, a -Gorenstein smoothing of a Wahl singularity gives rise to a one-parameter flat degeneration of a matrix algebra. A similar result holds for a…