3 citations · 6 across the 4 of their papers we have counts for
5 papers
A Surface Degeneration With Non-Collapsible Contractible Dual Complex
Lev Soukhanov
We construct a smoothing of a particular normal crossing surface, which dual complex is a duncehat, thus obtaining an example of a surface degeneration with non-collapsible, contra…
Perverse schobers and the Algebra of the Infrared
Mikhail Kapranov, Yan Soibelman, Lev Soukhanov
We relate the Algebra of the Infrared of Gaiotto-Moore-Witten with the theory of perverse schobers which are (conjectural, in general) categorical analogs of perverse sheaves. A pe…
Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces
Lev Soukhanov
We propose the new construction of complex surfaces with from smoothings of normal crossing surfaces with non-collapsible dual complexes and carry it out fo…
2-Morse Theory and the Algebra of the Infrared
Lev Soukhanov
We develop the formal analogue of the Morse theory for a pair of commuting gradient-like vector fields. The resulting algebraic formalism turns out to be very similar to the algebr…
On the phenomena of constant curvature in the diffusion-orthogonal polynomials
Lev Soukhanov
We consider the systems of diffusion-orthogonal polynomials, defined in the work [1] of D. Bakry, S. Orevkov and M. Zani and (particularly) explain why these systems with boundary…