110 citations · 266 across the 10 of their papers we have counts for
18 papers
Towards the fractional quantum Hall effect: a noncommutative geometry perspective
Matilde Marcolli, Varghese Mathai
In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of e…
Flux Compactifications on Projective Spaces and The S-Duality Puzzle
P. Bouwknegt, J. Evslin, B. Jurco +2
We derive a formula for D3-brane charge on a compact spacetime, which includes torsion corrections to the tadpole cancellation condition. We use this to classify D-branes and RR fl…
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…
On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
Varghese Mathai, Danny Stevenson
The central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifold…
Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
Jozef Dodziuk, Varghese Mathai
In this paper, a discrete form of the Kato inequality for discrete magnetic Laplacians on graphs is used to study asymptotic properties of the spectrum of discrete magnetic Schrodi…
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…