Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums

Mathematics – Differential Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index theory with bounded geometry, the uniformly finite A-hat class, and infinite connected sums will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-671668

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.