79 citations · 558 across the 28 of their papers we have counts for
28 papers
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…
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…
Norms of wave functions for FQHE models on a torus
Igor Burban, Semyon Klevtsov
The goal of this paper is to give an explicit computation of the curvature of the magnetic vector bundle of the multi-layer model of the fractional quantum Hall effect on a torus.…
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…
Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
Jie Wang, Semyon Klevtsov, Zhao Liu
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this work w…
Fractional Quantum Hall States on CP2 Space
Jie Wang, Semyon Klevtsov, Michael R. Douglas
We study four-dimensional fractional quantum Hall states on CP2 geometry from microscopic approaches. While in 2d the standard Laughlin wave function, given by a power of Vandermon…