3 papers
math.AG2026
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…
math.AG2025
Unramified Grothendieck-Serre for isotropic groups
Kestutis Cesnavicius, Roman Fedorov
The Grothendieck-Serre conjecture predicts that every generically trivial torsor under a reductive group over a regular semilocal ring is trivial. We establish this for unr…
math.AG2024
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…