The number of smooth 4-manifolds with a fixed complexity
| dc.creator | Auckly, Dave | |
| dc.date | 2007-01-09 | |
| dc.date | 2007-06-18 | |
| dc.date.accessioned | 2026-07-07T08:10:33Z | |
| dc.date.available | 2026-07-07T08:10:33Z | |
| dc.description | 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. | |
| dc.description | Schematics of Kirby diagrams for the knot surgery manifolds were replaced with actual Kirby diagrams, and minor errors were fixed | |
| dc.identifier | https://arxiv.org/abs/math/0701269 | |
| dc.identifier | http://arxiv.org/abs/math/0701269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131854 | |
| dc.subject | Geometric Topology | |
| dc.title | The number of smooth 4-manifolds with a fixed complexity | |
| dc.type | text |