The girth of a Heegaard splitting
| dc.creator | Jerdonek, Christopher | |
| dc.date | 2005-06-28 | |
| dc.date.accessioned | 2026-07-07T05:21:11Z | |
| dc.date.available | 2026-07-07T05:21:11Z | |
| dc.description | We construct simple curves from immersed curves in the setting of handlebodies and Heegaard splittings. We define a measure of complexity we call girth for closed curves in a handlebody. We extend this complexity to Heegaard splittings and pose a conjecture about all Heegaard splittings. We prove a test case of this conjecture. Let S be a compact surface embedded in the boundary of a handlebody H. Then the minimum girth over all curves in S can be achieved by a simple closed curve. We also present algorithms to compute the girth of curves and surfaces. | |
| dc.description | Ph.D. dissertation, 73 pages, 22 figures (bitmapped EPS, as the arXiv cannot yet accept the vector-based PDF source) | |
| dc.identifier | https://arxiv.org/abs/math/0506558 | |
| dc.identifier | http://arxiv.org/abs/math/0506558 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75598 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 (Primary) 57M50 (Secondary) | |
| dc.title | The girth of a Heegaard splitting | |
| dc.type | text |