25 citations · 152 across the 42 of their papers we have counts for
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Realizing the analytic surgery group of Higson and Roe geometrically, Part III: Higher invariants
Robin Deeley, Magnus Goffeng
We construct an isomorphism between the geometric model and Higson-Roe's analytic surgery group, reconciling the constructions in the previous papers in the series on "Realizing th…
Clusters of eigenvalues for the magnetic Laplacian with Robin condition
Magnus Goffeng, Ayman Kachmar, Mikael Persson Sundqvist
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in euclidean space. Functions in the domain of the operator are subject to a bo…
Realizing the analytic surgery group of Higson and Roe geometrically, Part II: Relative eta-invariants
Robin Deeley, Magnus Goffeng
We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative -invariant. In particular, by solving a Baum-Douglas type index problem, we give a…
Spectral triples and finite summability on Cuntz-Krieger algebras
Magnus Goffeng, Bram Mesland
We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as "the algebra of functions on a non-c…