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math-ph2006★ 2 cited
On Malliavin measures, SLE and CFT
Maxim Kontsevich, Yuri Suhov
We describe relations between SLE processes, certain replacements of the Haar measure on the Virasoro group (which we call Malliavin measures), and domain walls in small massive pe…
math.RA2006★ 66 cited
Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I
Maxim Kontsevich, Yan Soibelman
We develop geometric approach to A-infinity algebras and A-infinity categories based on the notion of formal scheme in the category of graded vector spaces. Geometric approach clar…
hep-th2006★ 33 cited
Integrality of instanton numbers and p-adic B-model
Maxim Kontsevich, Albert Schwarz, Vadim Vologodsky
We study integrality of instanton numbers (genus zero Gopakumar - Vafa invariants) for quintic and other Calabi-Yau manifolds. We start with the analysis of the case when the modul…