## Algebraic & Geometric Topology

### A note on cobordisms of algebraic knots

#### 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
Revised: 23 January 2017
Accepted: 31 January 2017
First available in Project Euclid: 16 November 2017

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

#### 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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