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

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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