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math.DG2005★ 3 cited
The spectrum of magnetic Schrödinger operators and -form Laplacians on conformally cusp manifolds
Sylvain Golénia, Sergiu Moroianu
We consider open manifolds which are interiors of a compact manifold with boundary, and Riemannian metrics asymptotic to a conformally cylindrical metric near the boundary. We show…
math.DG2003
Cusp geometry and the cobordism invariance of the index
Sergiu Moroianu
The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a comp…