Algebraic & Geometric Topology

A note on cobordisms of algebraic knots

József Bodnár, Daniele Celoria, and Marco Golla

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Abstract

We use Heegaard Floer homology to study smooth cobordisms of algebraic knots and complex deformations of cusp singularities of curves. The main tool will be the concordance invariant ν+: we study its behaviour with respect to connected sums, providing an explicit formula in the case of L–space knots and proving subadditivity in general.

Article information

Source
Algebr. Geom. Topol., Volume 17, Number 4 (2017), 2543-2564.

Dates
Received: 23 November 2016
Revised: 23 January 2017
Accepted: 31 January 2017
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1510841452

Digital Object Identifier
doi:10.2140/agt.2017.17.2543

Mathematical Reviews number (MathSciNet)
MR3686406

Zentralblatt MATH identifier
06762700

Subjects
Primary: 14B05: Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx] 14B07: Deformations of singularities [See also 14D15, 32S30] 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57M27: Invariants of knots and 3-manifolds 57R58: Floer homology

Keywords
deformation of singularities semicontinuity Heegaard Floer homology correction terms

Citation

Bodnár, József; Celoria, Daniele; Golla, Marco. A note on cobordisms of algebraic knots. Algebr. Geom. Topol. 17 (2017), no. 4, 2543--2564. doi:10.2140/agt.2017.17.2543. https://projecteuclid.org/euclid.agt/1510841452


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