The Signature of a Splice

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Jun 2016Embargo end date: 01 Jan 2014 Turkey, France English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

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Authors: Degtyarev, Alex; Florens, Vincent; Lecuona, Ana G.;

doi: 10.1093/imrn/rnw068 , 10.48550/arxiv.1409.5873

arXiv: 1409.5873

handle: 11693/37154

The Signature of a Splice

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Abstract

We study the behavior of the signature of colored links [Flo05, CF08] under the splice operation. We extend the construction to colored links in integral homology spheres and show that the signature is almost additive, with a correction term independent of the links. We interpret this correction term as the signature of a generalized Hopf link and give a simple closed formula to compute it.

Updated version. Sign corrected in Theorems 2.2 and 2.10 of the previous version. Also Corollary 2.6 was corrected and an Example added. 24 pages, 5 figures. To appear in IMRN

Countries

Turkey, France

Related Organizations

Centrale Marseille
France
Laboratory of Mathematics and their Applications
France
University of Pau and Pays de l'Adour
France
French National Centre for Scientific Research
France
Aix-Marseille University
France

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Keywords

Mathematics - Geometric Topology, SURFACES, FOS: Mathematics, COBORDISM, COLORED LINKS, Geometric Topology (math.GT), INVARIANTS, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

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