The number of smooth 4-manifolds with a fixed complexity

Details The number of smooth 4-manifolds with a fixed complexity The number of smooth 4-manifolds with a fixed complexity

2007-01-09

arxiv.org/abs/math/0701269v2

Mathematics

Geometric Topology

Schematics of Kirby diagrams for the knot surgery manifolds were replaced with actual Kirby diagrams, and minor errors were fi

Scientific paper

One can define the complexity of a smooth 4-manifold as the minimal sum of the number of disks, strands and crossings in a Kirby diagram. Martelli proved that the number of homeomorphism classes of complexity less than n grows as $n^2$. In this paper we prove that the number of diffeomorphism classes grows at least as fast as $n^{c\sqrt[3]{n}}$. Along the way we construct complete kirby diagrams for a large family of knot surgery manifolds.

Affiliated with

Also associated with

No associations

Rating

The number of smooth 4-manifolds with a fixed complexity 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 The number of smooth 4-manifolds with a fixed complexity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The number of smooth 4-manifolds with a fixed complexity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-448066