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math.AG2021
On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface
Yanki Lekili, Kazushi Ueda
We introduce a conjecture on homological mirror symmetry relating the symplectic topology of the complement of a smooth ample divisor in a K3 surface to algebraic geometry of type…
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.SG2021
Symplectic cohomology of compound Du Val singularities
Jonathan David Evans, Yanki Lekili
We compute symplectic cohomology for Milnor fibres of certain compound Du Val singularities that admit small resolution by using homological mirror symmetry. Our computations sugge…