79 citations · 558 across the 28 of their papers we have counts for
13 papers · 1 filter
Quantum Hall effect and Quillen metric
Semyon Klevtsov, Xiaonan Ma, George Marinescu +1
We study the generating functional, the adiabatic curvature and the adiabatic phase for the integer quantum Hall effect (QHE) on a compact Riemann surface. For the generating funct…
FQHE on curved backgrounds, free fields and large N
Frank Ferrari, Semyon Klevtsov
We study the free energy of the Laughlin state on curved backgrounds, starting from the free field representation. A simple argument, based on the computation of the gravitational…
Stability and integration over Bergman metrics
Semyon Klevtsov, Steve Zelditch
We study partition functions of random Bergman metrics, with the actions defined by a class of geometric functionals known as `stability functions'. We introduce a new stability in…
2D Quantum Gravity at One Loop with Liouville and Mabuchi Actions
Adel Bilal, Frank Ferrari, Semyon Klevtsov
We study a new two-dimensional quantum gravity theory, based on a gravitational action containing both the familiar Liouville term and the Mabuchi functional, which has been shown…
Random normal matrices, Bergman kernel and projective embeddings
Semyon Klevtsov
We investigate the analogy between the large N expansion in normal matrix models and the asymptotic expansion of the determinant of the Hilb map, appearing in the study of critical…
Gravitational Actions in Two Dimensions and the Mabuchi Functional
Frank Ferrari, Semyon Klevtsov, Steve Zelditch
The Mabuchi energy is an interesting geometric functional on the space of Kähler metrics that plays a crucial rôle in the study of the geometry of Kähler manifolds. We show that th…