Y
Yan Soibelman
Researcher at Kansas State University
Publications - 34
Citations - 2586
Yan Soibelman is an academic researcher from Kansas State University. The author has contributed to research in topics: Calabi–Yau manifold & Conjecture. The author has an hindex of 14, co-authored 32 publications receiving 2347 citations. Previous affiliations of Yan Soibelman include Max Planck Society.
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Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this article, the authors define new invariants of 3d Calabi-Yau categories endowed with a stability structure, which are elements of quantum tori over a version of the Grothendieck ring of varieties over the ground field.
Journal ArticleDOI
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this article, the authors define a new type of Hall algebras associated with quivers with polynomial potentials, called cohomology of the stack of representations instead of constructible sheaves or functions.
Book ChapterDOI
Affine Structures and Non-Archimedean Analytic Spaces
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this paper, an analytic space over a non-archimedean field, starting with a real manifold with an affine structure which has integral monodromy, is constructed.
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Motivic Donaldson-Thomas invariants: Summary of results
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this article, the concept of motivic Donaldson-Thomas invariant was introduced and a short summary of main results of the paper arXiv:0811.2435 where the concept was introduced is given.
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Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this paper, a geometric approach to A-infinity algebras and A-invariant categories based on the notion of formal scheme in the category of graded vector spaces is presented.