766 citations · 1.3k across the 40 of their papers we have counts for
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Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We study the Drinfeld double of the (equivariant spherical) Cohomological Hall algebra in the sense of Kontsevich and Soibelman, associated to a smooth toric Calabi-Yau 3-fold .…
Cohomological Hall algebras, vertex algebras and instantons
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify th…
Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for -dimensional Calabi-Yau categories (with an appendix by Ben Davison)
Jie Ren, Yan Soibelman
We discuss semicanonical bases from the point of view of Cohomological Hall algebras via the "dimensional reduction" from 3-dimensional Calabi-Yau categories to 2-dimensional ones.…
Quantum p-adic spaces and quantum p-adic groups
Yan Soibelman
We discuss examples of non-commutative spaces over non-archimedean fields. Those include non-commutative and quantum affinoid algebras, quantized K3 surfaces and quantized locally…
On non-commutative analytic spaces over non-archimedean fields
Yan Soibelman
The paper is devoted to examples of non-commutative analytic spaces over valuation fields. Those include non-commutative affine spaces, quantum tori, K3 surfaces.
Quantum tori, mirror symmetry and deformation theory
Yan Soibelman
We suggest to compactify the universal covering of the moduli space of complex structures by non-commutative spaces. The latter are described by certain categories of sheaves with…