Power series link invariants and the Thurston norm
type: Item
instance of: scholarly article
title: Power series link invariants and the Thurston norm
zbMATH Open document ID: 0944.57005
DOI: 10.1016/S0166-8641(98)00120-5
author: Efstratia Kalfagianni
published in: Topology and its Applications
publication date: 2000-09-20T00:00:00Z
review text: In [\textit{E. Kalfagianni} and \textit{X.-S. Lin}, The HOMFLY polynomial for links in rational homology spheres, Topology 38, No. 1, 95-115 (1999)] power series invariants for links in certain \(\mathbb{Z}\)-homology spheres were constructed which satisfy a skein relation. For \(S^3\) these power series converge to Laurent polynomials (the 2-variable polynomials). A class of links (infinite links) is defined which represents an obstruction to the convergence in an irreducible homology sphere. As a tool a generalization of the Scharlemann-Thompson relation between the Euler characteristics of skein-partners \(L_+,L_-,L_0\) is proved.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M40
zbMATH DE Number: 1395049
zbMATH Keywords: power series invariant
zbMATH Keywords: HOMFLY polynomial
zbMATH Keywords: homology sphere
reviewed by: Gerhard Burde
MaRDI profile type: Publication
full work available at URL: s0166-8641(98)00120-5
OpenAlex ID: W2000643495
description: scientific article; zbMATH DE number 1395049