766 citations · 1.3k across the 40 of their papers we have counts for
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3 papers · 1 filter
math.CO2002★ 3 cited
Topological Borsuk problem
Yan Soibelman
Classical Borsuk problem asks about the minimal number of closed subsets of smaller diameter necessary to partition every compact in the Euclidean space. Topological version of the…
math.AG2002★ 11 cited
Non-commutative compactifications and elliptic curves
Yan Soibelman, Vadim Vologodsky
We study non-commutative degenerations of elliptic curves over local fields. The corresponding objects are close relatives of non-commutative tori of Connes and Rieffel.
hep-th2002★ 26 cited
Mirror symmetry and deformation quantization
Paul Bressler, Yan Soibelman
The paper is devoted to the comparison of the Fukaya category (it is responcible for the A-side of mirror symmetry) with the category of holonomic modules over the quantized algebr…