A higher-order genus invariant and knot Floer homology
| dc.creator | Horn, Peter D. | |
| dc.date | 2009-01-14 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:06:40Z | |
| dc.date.available | 2026-07-07T13:06:40Z | |
| dc.description | It is known that knot Floer homology detects the genus and Alexander polynomial of a knot. We investigate whether knot Floer homology of $K$ detects more structure of minimal genus Seifert surfaces for $K$. We define an invariant of algebraically slice, genus one knots and provide examples to show that knot Floer homology does not detect this invariant. Finally, we remark that certain metabelian $L^2$-signatures bound this invariant from below. | |
| dc.description | 6 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0901.2095 | |
| dc.identifier | http://arxiv.org/abs/0901.2095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227852 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | A higher-order genus invariant and knot Floer homology | |
| dc.type | text |