Dissolving four-manifolds and positive scalar curvature

Details Dissolving four-manifolds and positive scalar curvature Dissolving four-manifolds and positive scalar curvature

2003-06-05

arxiv.org/abs/math/0306096v1

Math. Zeitschrift 245 (2003), 545--555.

Mathematics

Geometric Topology

13 pages; to appear in Mathematische Zeitschrift

Scientific paper

10.1007/s00209-003-0553-8

We prove that many simply connected symplectic four-manifolds dissolve after connected sum with only one copy of $S^{2}\times S^{2}$. For any finite group G that acts freely on the three-sphere we construct closed smooth four-manifolds with fundamental group G which do not admit metrics of positive scalar curvature, but whose universal covers do admit such metrics.

Affiliated with

Also associated with

No associations

Rating

Dissolving four-manifolds and positive scalar curvature 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 Dissolving four-manifolds and positive scalar curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissolving four-manifolds and positive scalar curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-24180