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This article is available for purchase or by subscription. See below.
Abstract
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We construct a sequence of smooth concordance invariants
defined using
truncated Heegaard Floer homology. The invariants generalize the concordance invariants
of Ozsváth
and Szabó and
of Hom and Wu. We exhibit an example in which the gap between two consecutive elements in
the sequence
can be arbitrarily large. We also prove that the sequence
contains more concordance
information than
,
,
,
and
.
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Keywords
knot theory, concordance, Heegaard Floer homology
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57R58
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Publication
Received: 21 January 2018
Revised: 10 November 2018
Accepted: 18 December 2018
Published: 16 August 2019
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