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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.
Keywords
concordance order, Heegaard Floer homology
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57R58
Publication
Received: 20 November 2006
Revised: 6 February 2007
Accepted: 30 January 2007
Published: 30 May 2007
Proposed: Ron Stern
Seconded: Peter Teichner and Peter Ozsváth