69 citations · 71 across the 5 of their papers we have counts for
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Remark about scalar curvature on certain noncompact manifolds
John Lott
We give a sufficient condition to rule out complete Riemannian metrics with nonnegative scalar curvature on the interiors of handlebodies. In higher dimensions, we give examples of…
Scalar curvature and Dirac operator for some singular spaces
John Lott
We look at smooth manifolds equipped with a possibly singular Riemannian metric. We give sufficient conditions for the existence of scalar curvature measures and Dirac operators.
Some obstructions to positive scalar curvature on a noncompact manifold
John Lott
We give obstructions for a noncompact manifold to admit a complete Riemannian metric with (nonuniformly) positive scalar curvature. We treat both the finite volume and infinite vol…
A Dolbeault-Hilbert complex for a variety with isolated singular points
John Lott
Given a compact Hermitian complex space with isolated singular points, we construct a Dolbeault-type Hilbert complex whose cohomology is isomorphic to the cohomology of the structu…
An index theorem in differential K-theory
Daniel S. Freed, John Lott
Let X --> B be a proper submersion with a Riemannian structure. Given a differential K-theory class on X, we define its analytic and topological indices as differential K-theory cl…