2.4k citations · 7k across the 65 of their papers we have counts for
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Pre-Calabi-Yau algebras and topological quantum field theories
Maxim Kontsevich, Alex Takeda, Yiannis Vlassopoulos
We introduce a notion generalizing Calabi-Yau structures on A-infinity algebras and categories, which we call pre-Calabi-Yau structures. This notion does not need either one of the…
Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties
Alexander Goncharov, Maxim Kontsevich
Let R be a non-commutative field. We prove that generic triples of flags in an m-dimensional R-vector space are described by flat R-line bundles on the honeycomb graph with (m-1)(m…
Multiplication kernels
Maxim Kontsevich, Alexander Odesskii
We introduce the notion of multiplication kernels of birational and -module type and give various examples. We also introduce the notion of a semi-classical multiplication kerne…