Order in the concordance group and Heegaard Floer homology

Jabuka, Stanislav¹ ; Naik, Swatee¹

¹ Department of Mathematics and Statistics, University of Nevada, Reno NV 89557, USA

Geometry & topology, Tome 11 (2007) no. 2, pp. 979-994.

Résumé

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.

Détail

DOI : 10.2140/gt.2007.11.979

Keywords: concordance order, Heegaard Floer homology

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