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math.DG2000
Collapsing and Dirac-Type Operators
John Lott
We analyze the limit of the spectrum of a geometric Dirac-type operator under a collapse with bounded diameter and bounded sectional curvature. In the case of a smooth limit space…
math.DG2000
The Dirac Operator and Conformal Compactification
John Lott
We give results about the L^2 kernel and the spectrum of the Dirac operator on a complete Riemannian manifold which is conformally equivalent to the interior of a Riemannian manifo…