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Canonical bases for cluster algebras
Mark Gross, Paul Hacking, Sean Keel +1
In previous work, the first three authors conjectured that the ring of regular functions on a natural class of affine log Calabi-Yau varieties (those with maximal boundary) has a c…
Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models
Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev
In this paper we prove the smoothness of the moduli space of Landau-Ginzburg models. We formulate and prove a Tian-Todorov theorem for the deformations of Landau-Ginzburg models, d…
Flat surfaces and stability structures
Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich
We identify spaces of half-translation surfaces, equivalently complex curves with quadratic differential, with spaces of stability structures on Fukaya-type categories of punctured…
Algebra of the infrared and secondary polytopes
Mikhail Kapranov, Maxim Kontsevich, Yan Soibelman
We study algebraic structures ( and -algebras) introduced by Gaiotto, Moore and Witten in their recent work devoted to certain supersymmetric 2-dimensional mass…