766 citations · 1.3k across the 40 of their papers we have counts for
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math.QA2000★ 9 cited
Quantum tori, mirror symmetry and deformation theory
Yan Soibelman
We suggest to compactify the universal covering of the moduli space of complex structures by non-commutative spaces. The latter are described by certain categories of sheaves with…
math.SG2000★ 3 cited
Homological mirror symmetry and torus fibrations
Maxim Kontsevich, Yan Soibelman
In this paper we discuss two major conjectures in Mirror Symmetry: Strominger-Yau-Zaslow conjecture about torus fibrations, and the homological mirror conjecture (about an equivale…
math.QA2000★ 106 cited
Deformations of algebras over operads and Deligne's conjecture
Maxim Kontsevich, Yan Soibelman
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe for…