Untwisting Heegaard diagrams in 3-space
| dc.creator | Gillman, David | |
| dc.creator | Rolfsen, Dale | |
| dc.date | 2003-10-28 | |
| dc.date.accessioned | 2026-07-07T05:02:17Z | |
| dc.date.available | 2026-07-07T05:02:17Z | |
| dc.description | We show that if $V^3$ is a handlebody in $\R^3$, with curves $J_1, ..., J_g \subset \partial V$ which are the attaching curves for a Heegaard splitting of a homology sphere, then there exists a homeomorphism $h\colon V \to V$ so that each of the curves $h(J_i)$ bounds an orientable surface in $\R^3 - int(V)$. This leads to a new characterization of homology spheres and also contradicts a remark of Haken (in 1969) regarding the Poincaré homology sphere. | |
| dc.description | 5 figures, latex2e | |
| dc.identifier | https://arxiv.org/abs/math/0310426 | |
| dc.identifier | http://arxiv.org/abs/math/0310426 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68996 | |
| dc.subject | Geometric Topology | |
| dc.title | Untwisting Heegaard diagrams in 3-space | |
| dc.type | text |