Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums
Differential Geometry
2007-05-23 v1
Abstract
We analyze the obstruction to metrics of positive scalar curvature within a given bounded distortion class of metrics. This obstruction lives in a non-Hausdorff cohomology group Poincare dual to the uniformly finite homology studied by Block and Weinberger. One of the applications is a converse to their theorem on infinite connected sums, giving a complete picture of when such manifolds have metrics of positive scalar curvature.
Keywords
Cite
@article{arxiv.math/0405271,
title = {Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums},
author = {Kevin Whyte},
journal= {arXiv preprint arXiv:math/0405271},
year = {2007}
}