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2019 Truncated Heegaard Floer homology and knot concordance invariants
Linh Truong
Algebr. Geom. Topol. 19(4): 1881-1901 (2019). DOI: 10.2140/agt.2019.19.1881

Abstract

We construct a sequence of smooth concordance invariants νn(K) defined using truncated Heegaard Floer homology. The invariants generalize the concordance invariants ν of Ozsváth and Szabó and ν+ of Hom and Wu. We exhibit an example in which the gap between two consecutive elements in the sequence νn can be arbitrarily large. We also prove that the sequence νn contains more concordance information than τ, ν, ν, ν+ and ν+.

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Linh Truong. "Truncated Heegaard Floer homology and knot concordance invariants." Algebr. Geom. Topol. 19 (4) 1881 - 1901, 2019. https://doi.org/10.2140/agt.2019.19.1881

Information

Received: 21 January 2018; Revised: 10 November 2018; Accepted: 18 December 2018; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07121516
MathSciNet: MR3995020
Digital Object Identifier: 10.2140/agt.2019.19.1881

Subjects:
Primary: 57M25, 57M27, 57R58

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 4 • 2019
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