Combinatorial Description of Knot Floer Homology of Cyclic Branched Covers
| dc.creator | Grigsby, J. Elisenda | |
| dc.date | 2006-10-09 | |
| dc.date | 2006-11-14 | |
| dc.date.accessioned | 2026-07-07T07:28:49Z | |
| dc.date.available | 2026-07-07T07:28:49Z | |
| dc.description | We introduce a simple combinatorial method for computing all versions of the knot Floer homology of the preimage of a two-bridge knot K(p,q) inside its double-branched cover, -L(p,q). The 4-pointed genus 1 Heegaard diagram we obtain looks like a twisted version of the toroidal grid diagrams recently introduced by Manolescu, Ozsvath, and Sarkar. We conclude with a discussion of how one might obtain nice Heegaard diagrams for cyclic branched covers of more general knots. | |
| dc.description | 20 pages, 14 figures; Minor expositional improvements, typos corrected throughout (most seriously, the x,y coordinates used in discussion of intersection points beginning page 13 of previous version were incorrectly--but consistently--flipped) | |
| dc.identifier | https://arxiv.org/abs/math/0610238 | |
| dc.identifier | http://arxiv.org/abs/math/0610238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117872 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R58; 57M12; 57M27 | |
| dc.title | Combinatorial Description of Knot Floer Homology of Cyclic Branched Covers | |
| dc.type | text |