256 citations · 944 across the 58 of their papers we have counts for
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math-ph2014★ 30 cited
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory
Chris Bourne, Alan L. Carey, Adam Rennie
We prove the bulk-edge correspondence in -theory for the quantum Hall effect by constructing an unbounded Kasparov module from a short exact sequence that links the bulk and bou…
math.SP2014★ 12 cited
On the Witten index in terms of spectral shift functions
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the model operator in associated with the operator path , wher…
math.KT2014
Topological invariance of the homological index
Alan Carey, Jens Kaad
R. W. Carey and J. Pincus in [CaPi86] proposed and index theory for non-Fredholm bounded operators T on a separable Hilbert space H such that TT* - T*T is in the trace class. We sh…