## Geometry & Topology

### Knot concordance and Heegaard Floer homology invariants in branched covers

#### Abstract

By studying the Heegaard Floer homology of the preimage of a knot $K⊂S3$ inside its double branched cover, we develop simple obstructions to $K$ having finite order in the classical smooth concordance group. As an application, we prove that all $2$–bridge knots of crossing number at most $12$ for which the smooth concordance order was previously unknown have infinite smooth concordance order.

#### Article information

Source
Geom. Topol., Volume 12, Number 4 (2008), 2249-2275.

Dates
Revised: 24 June 2008
Accepted: 13 June 2008
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513800126

Digital Object Identifier
doi:10.2140/gt.2008.12.2249

Mathematical Reviews number (MathSciNet)
MR2443966

Zentralblatt MATH identifier
1149.57007

#### Citation

Grigsby, J Elisenda; Ruberman, Daniel; Strle, Sašo. Knot concordance and Heegaard Floer homology invariants in branched covers. Geom. Topol. 12 (2008), no. 4, 2249--2275. doi:10.2140/gt.2008.12.2249. https://projecteuclid.org/euclid.gt/1513800126

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