84 citations · 84 across the 2 of their papers we have counts for
4 papers
Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra
K. C. Hannabuss
It is known that non-commutative fluids used to model the Fractional Quantum Hall effect give Calogero--Moser systems. The group-theoretic description of these as reductions of fre…
T-duality for principal torus bundles
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as t…
Non-commutative Twistor Space
K. C. Hannabuss
It is shown that deformations of twistor space compatible with the Moyal deformation of Minkowski space-time must take the form recently suggested by Kapustin, Kuznetsov and Orlov.
Quantum Hall Effect and Noncommutative Geometry
A. Carey, K. Hannabuss, V. Mathai
We study magnetic Schrodinger operators with random or almost periodic electric potentials on the hyperbolic plane, motivated by the quantum Hall effect in which the hyperbolic geo…