Geometry & Topology
- Geom. Topol.
- Volume 11, Number 2 (2007), 979-994.
Order in the concordance group and Heegaard Floer homology
Stanislav Jabuka and Swatee Naik
Abstract
We use the Heegaard–Floer homology correction terms defined by Ozsváth–Szabó to formulate a new obstruction for a knot to be of finite order in the smooth concordance group. This obstruction bears a formal resemblance to that of Casson and Gordon but is sensitive to the difference between the smooth versus topological category. As an application we obtain new lower bounds for the concordance order of small crossing knots.
Article information
Source
Geom. Topol., Volume 11, Number 2 (2007), 979-994.
Dates
Received: 20 November 2006
Revised: 6 February 2007
Accepted: 30 January 2007
First available in Project Euclid: 20 December 2017
Permanent link to this document
https://projecteuclid.org/euclid.gt/1513799866
Digital Object Identifier
doi:10.2140/gt.2007.11.979
Mathematical Reviews number (MathSciNet)
MR2326940
Zentralblatt MATH identifier
1132.57008
Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57R58: Floer homology
Keywords
concordance order Heegaard Floer homology
Citation
Jabuka, Stanislav; Naik, Swatee. Order in the concordance group and Heegaard Floer homology. Geom. Topol. 11 (2007), no. 2, 979--994. doi:10.2140/gt.2007.11.979. https://projecteuclid.org/euclid.gt/1513799866