On the Heegaard Floer homology of branched double-covers
| dc.creator | Ozsvath, Peter | |
| dc.creator | Szabo, Zoltan | |
| dc.date | 2003-09-09 | |
| dc.date.accessioned | 2026-07-07T06:33:40Z | |
| dc.date.available | 2026-07-07T06:33:40Z | |
| dc.description | Let $L\subset S^3$ be a link. We study the Heegaard Floer homology of the branched double-cover $Σ(L)$ of $S^3$, branched along $L$. When $L$ is an alternating link, $\HFa$ of its branched double-cover has a particularly simple form, determined entirely by the determinant of the link. For the general case, we derive a spectral sequence whose $E^2$ term is a suitable variant of Khovanov's homology for the link $L$, converging to the Heegaard Floer homology of $Σ(L)$. | |
| dc.description | 36 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/math/0309170 | |
| dc.identifier | http://arxiv.org/abs/math/0309170 | |
| dc.identifier | Adv. Math. 194 (2005), no. 1, 1--33. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99276 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R | |
| dc.title | On the Heegaard Floer homology of branched double-covers | |
| dc.type | text |