A note on cobordisms of algebraic knots

Bodnár, József¹ ; Celoria, Daniele² ; Golla, Marco³

¹Mathematics Department, Stony Brook University, Stony Brook, NY 11794-3651, United States
²Mathematical Institute, University of Oxford, Oxford, OX2 6GG, United Kingdom
³Department of Mathematics, Uppsala University, SE-751 06 Uppsala, Sweden

Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2543-2564

Résumé

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.

Détail

DOI : 10.2140/agt.2017.17.2543

Classification : 14B05, 14B07, 57M25, 57M27, 57R58
Keywords: deformation of singularities, semicontinuity, Heegaard Floer homology, correction terms

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