The Hopf invariant and simplex straightening
| dc.creator | Guth, Larry | |
| dc.date | 2007-09-09 | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:52:11Z | |
| dc.date.available | 2026-07-07T12:52:11Z | |
| dc.description | Let M be a closed 3-manifold which can be triangulated with N simplices. We prove that any map from M to a genus 2 surface has Hopf invariant at most C^N. Let X be a closed oriented hyperbolic 3-manifold with injectivity radius less than epsilon at one point. If there is a degree non-zero map from M to X, then we prove that epsilon is at least C^{-N}. | |
| dc.description | 17 pages. In the first version of the paper, there was a mistake on page 6 in the proof of Lemma 1. The paper is corrected, and some parts have been simplified | |
| dc.identifier | https://arxiv.org/abs/0709.1247 | |
| dc.identifier | http://arxiv.org/abs/0709.1247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223219 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C23, 57M50 | |
| dc.title | The Hopf invariant and simplex straightening | |
| dc.type | text |