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math.SG2024★ 1 cited
Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions
Maxim Kontsevich, Yan Soibelman
In the first of the series of papers devoted to our project ``Holomorphic Floer Theory" we discuss exponential integrals and related wall-crossing structures. We emphasize two poin…
math.SG2014★ 3 cited
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…
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…