110 citations · 266 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
On the Topology and Flux of T-Dual Manifolds
Peter Bouwknegt, Jarah Evslin, Varghese Mathai
We present a general formula for the topology and H-flux of the T-dual of a type two compactification. Our results apply to T-dualities with respect to any free circle action. In p…
Arithmetic properties of eigenvalues of generalized Harper operators on graphs
J. Dodziuk, V. Mathai, S. Yates
Let $\Qbar$ denote the field of complex algebraic numbers. A discrete group is said to have the -multiplier algebraic eigenvalue property, if for every matrix with entri…
Type I D-branes in an H-flux and twisted KO-theory
V. Mathai, M. K. Murray, D. Stevenson
Witten has argued that charges of Type I D-branes in the presence of an H-flux, take values in twisted KO-theory. We begin with the study of real bundle gerbes and their holonomy.…
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…