12 citations · 22 across the 6 of their papers we have counts for
7 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…
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…
Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic 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 a non-empty set of rational points of . We calculate the motivic classes of moduli stacks…
Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry
Alexander Soibelman
These lecture notes consist of an introduction to moduli spaces in algebraic geometry, with a strong emphasis placed on examples related to the theory of quiver representations. Th…
Motivic classes of moduli of Higgs bundles and moduli of bundles with connections
Roman Fedorov, Alexander Soibelman, Yan Soibelman
Let X be a smooth projective curve over a field of characteristic zero. We calculate the motivic class of the moduli stack of semistable Higgs bundles on X. We also calculate the m…
The very good property for parabolic vector bundles over curves
Alexander Soibelman
The purpose of this note is to extend Beilinson and Drinfeld's "very good" property to moduli stacks of parabolic vector bundles on curves of genuses and . Beilinson…
The moduli stack of parabolic bundles over the projective line, quiver representations, and the Deligne-Simpson problem
Alexander Soibelman
In "Quantization of Hitchin's Integrable System and Hecke Eigensheaves", Beilinson and Drinfeld introduced the "very good" property for a smooth complex equidimensional stack. They…