Index theory and partitioning by enlargeable hypersurfaces

Details Index theory and partitioning by enlargeable hypersurfaces Index theory and partitioning by enlargeable hypersurfaces

2008-12-08

arxiv.org/abs/0812.1445v2

Mathematics

K-Theory and Homology

Theorem 2.3 of the first version is weakened and the concluding section is omitted

Scientific paper

In this paper we state and prove a higher index theorem for an odd-dimensional connected spin riemannian manifold $(M,g)$ which is partitioned by an oriented closed hypersurface $N$. This index theorem generalizes a theorem due to N. Higson and J. Roe in the context of Hilbert modules. Then we apply this theorem to prove that if $N$ is area-enlargeable and if there is a smooth map from $M$ into $N$ such that its restriction to $N$ has non-zero degree then the the scalar curvature of $g$ cannot be uniformly positive.

Affiliated with

Also associated with

No associations

Rating

Index theory and partitioning by enlargeable hypersurfaces 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 and partitioning by enlargeable hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index theory and partitioning by enlargeable hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318777