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Perverse sheaves on Riemann surfaces as Milnor sheaves
Tobias Dyckerhoff, Mikhail Kapranov, Yan Soibelman
Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a simila…
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…
Analyticity and resurgence in wall-crossing formulas
Maxim Kontsevich, Yan Soibelman
We introduce the notion of analytic stability data on the Lie algebra of vector fields on a torus. We prove that the subspace of analytic stability data is open and closed in the t…