A note on cobordisms of algebraic knots

Bodnár, József; Celoria, Daniele; Golla, Marco

doi:10.2140/agt.2017.17.2543

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

A note on cobordisms of algebraic knots

József Bodnár, Daniele Celoria and Marco Golla

Algebraic & Geometric Topology 17 (2017) 2543–2564

DOI: 10.2140/agt.2017.17.2543

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.

Keywords

deformation of singularities, semicontinuity, Heegaard Floer homology, correction terms

Mathematical Subject Classification 2010

Primary: 14B05, 14B07, 57M25

Secondary: 57M27, 57R58

References

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

Volume 17, issue 4 (2017)