12 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
On the relationship of gerbes to the odd families index theorem
Alan L. Carey, Bai-Ling Wang
The goal of this paper is to apply the universal gerbe of \cite{CMi1} and \cite{CMi2} to give an alternative, simple and more unified view of the relationship between index theory…
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…
The geometric triangle for 3-dimensional Seiberg-Witten monopoles
Alan Carey, Matilde Marcolli, Bai-Ling Wang
We establish a surgery formula for 3-dimensional Seiberg-Witten monopoles under (+1) Dehn surgery on a knot in a homology 3-sphere. (substantial revision)
Quantum Hall Effect on the Hyperbolic Plane in the presence of disorder
A. Carey, K. Hannabuss, V. Mathai
We study both the continuous model and the discrete model of the integer quantum Hall effect on the hyperbolic plane in the presence of disorder, extending the results of an earlie…