2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AG2004★ 2 cited
Affine structures and non-archimedean analytic spaces
Maxim Kontsevich, Yan Soibelman
In this paper we propose a way to construct an analytic space over a non-archimedean field, starting with a real manifold with an affine structure which has integral monodromy. Our…
math.SG2000
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
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…