766 citations · 1.3k across the 40 of their papers we have counts for
40 papers
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…
Moduli space of Conformal Field Theories and non-commutative Riemannian geometry
Yan Soibelman
We discuss the analogy between collapsing Conformal Field Theories and measured Gromov-Hausdorff limit of Riemannian manifolds with non-negative Ricci curvature. Motivated by this…
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…
Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions
Maxim Kontsevich, Yan Soibelman
In the first of the series of papers devoted to our project ``Holomorphic Floer Theory" we discuss exponential integrals and related wall-crossing structures. We emphasize two poin…