Volume 17, issue 4 (2017)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Other MSP Journals
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
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