#### Volume 17, issue 4 (2017)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A note on cobordisms of algebraic knots

### József Bodnár, Daniele Celoria and Marco Golla

Algebraic & Geometric Topology 17 (2017) 2543–2564
##### 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 ${\nu }^{+}$: 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.

##### Keywords
deformation of singularities, semicontinuity, Heegaard Floer homology, correction terms
##### Mathematical Subject Classification 2010
Primary: 14B05, 14B07, 57M25
Secondary: 57M27, 57R58
##### Publication
Received: 23 November 2016
Revised: 23 January 2017
Accepted: 31 January 2017
Published: 3 August 2017
##### Authors
 József Bodnár Mathematics Department Stony Brook University Stony Brook, NY 11794-3651 United States Daniele Celoria Mathematical Institute University of Oxford Oxford OX2 6GG United Kingdom Marco Golla Department of Mathematics Uppsala University SE-751 06 Uppsala Sweden