An unoriented skein exact triangle for knot Floer homology
| dc.creator | Manolescu, Ciprian | |
| dc.date | 2006-09-19 | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T09:20:36Z | |
| dc.date.available | 2026-07-07T09:20:36Z | |
| dc.description | Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating knot, the total rank of its knot Floer homology is equal to the determinant of the knot. | |
| dc.description | 13 pages, 10 figures; 9_46 dropped from the list of quasi-alternating knots | |
| dc.identifier | https://arxiv.org/abs/math/0609531 | |
| dc.identifier | http://arxiv.org/abs/math/0609531 | |
| dc.identifier | Math. Res. Lett. 14 (2007), 839--852 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154774 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57M25; 57M27; 57R58 | |
| dc.title | An unoriented skein exact triangle for knot Floer homology | |
| dc.type | text |