A. Polishchuk

activity

19932023

most citedCategories of holomorphic vector bundles on noncommutative two-tori

103 citations · 686 across the 101 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.SG2018★ 20 cited

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 $k + 1$ generic hyp…

math.AG2018★ 1 cited

Birational models of $M_{2, 2}$ arising as moduli of curves with nonspecial divisors

Drew Johnson, Alexander Polishchuk

We study birational projective models of $M_{2, 2}$ obtained from the moduli space of curves with nonspecial divisors. We describe geometrically which singular curves app…

math.AG2018★ 2 cited

$A_{\infty}$ -structures associated with pairs of 1-spherical objects and noncommutative orders over curves

Alexander Polishchuk

We show that pairs $(X, Y)$ of 1-spherical objects in $A_{\infty}$ -categories, such that the morphism space $Hom (X, Y)$ is concentrated in degree 0, can be described by certain n…

math.SG2018

Derived equivalences of gentle algebras via Fukaya categories

Yanki Lekili, Alexander Polishchuk

Following the approach of Haiden-Katzarkov-Kontsevich arXiv:1409.8611, to any homologically smooth graded gentle algebra $A$ we associate a triple $(Σ_{A}, Λ_{A}; η_{A})$ , where $Σ_{A}$ is…

Homological mirror symmetry for higher dimensional pairs of pants

Birational models of M2,2​ arising as moduli of curves with nonspecial divisors

A∞​-structures associated with pairs of 1-spherical objects and noncommutative orders over curves

Derived equivalences of gentle algebras via Fukaya categories

Birational models of $M_{2, 2}$ arising as moduli of curves with nonspecial divisors

$A_{\infty}$ -structures associated with pairs of 1-spherical objects and noncommutative orders over curves