766 citations · 1.3k across the 40 of their papers we have counts for
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Motivic invariants of moduli stacks of Higgs bundles and bundles with connections: results and speculations
Roman Fedorov, Alexander Soibelman, Yan Soibelman
We review some results and techniques from our papers devoted to the computation of motivic classes of stacks of parabolic Higgs budles and bundles with connections on a curve. In…
Resurgence and perverse sheaves
Mikhail Kapranov, Yan Soibelman
We propose a point of view on resurgence theory based on the study of perverse sheaves on the complex line carrying an algebraic structure with respect to additive convolution. In…
Algebra of the Infrared, secondary polytopes and perverse schobers
Mikhail Kapranov, Yan Soibelman
This survey paper, based on a talk at the International Congress of Basic Science in Beijing in July 2025, summarizes joint work of the authors with M. Kontsevich [1408.2673] estab…
Motivic classes of irregular Higgs bundles and irregular connections on a curve
Roman Fedorov, Alexander Soibelman, Yan Soibelman
Let be a smooth projective curve over a field of characteristic zero and let be an effective divisor on . We calculate motivic classes of various moduli stacks…
Spherical adjunctions of stable -categories and the relative S-construction
Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman +1
We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable -categories. Building on this, we study the relative Waldhausen S-…
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…