3 papers
math.AG2026
Chern classes of Laughlin bundles on the quasihole moduli space
Florent Dupont, Semyon Klevtsov
We study fractional quantum Hall states with quasihole excitations, on Riemann surfaces of arbitrary genus. For configurations with quasiholes we construct a vector bundle abov…
math.AG2025
The Chern character of the Laughlin vector bundle in the Fractional Quantum Hall Effect
Semyon Klevtsov, Dimitri Zvonkine
We begin by explaining how a physical problem of studying the quantum Hall effect on a closed surface leads, via Laughlin's approach, to a mathematical question of describing t…
math.AG2025
Algebraic geometry of the multilayer model of the fractional quantum Hall effect on a torus
Igor Burban, Semyon Klevtsov
In 1993 Keski-Vakkuri and Wen introduced a model for the fractional quantum Hall effect based on multilayer two-dimensional electron systems satisfying quasi-periodic boundary cond…