Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-22T08:14:23.305Z Has data issue: false hasContentIssue false
  • English
  • Français

On finite type 3-manifold invariants IV: comparison of definitions

Published online by Cambridge University Press:  01 September 1997

STAVROS GAROUFALIDIS  and
JEROME LEVINE
STAVROS GAROUFALIDIS
Affiliation:
151 Thayer Street, Department of Mathematics, Brown University, P.O. Box 1917, Providence, RI, 02912-0001, U.S.A. e-mail: stavros@math.harvard.edu
JEROME LEVINE
Affiliation:
Department of Mathematics, Brandeis University, Waltham, MA, 02254-9110, U.S.A. E-mail address: levine@binah.cc.brandeis.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The present paper is a continuation of [Ga], [GL1] and [GO]. Using a key lemma we compare two currently existing definitions of finite type invariants of oriented integral homology spheres and show that type 3m invariants in the sense of Ohtsuki [Oh] are included in type m invariants in the sense of the first author [Ga]. This partially answers question 1 of [Ga]. We show that type 3m invariants of integral homology spheres in the sense of Ohtsuki map to type 2m invariants of knots in S3, thus answering question 2 from [Ga].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 2 , September 1997 , pp. 291 - 300
Copyright
Cambridge Philosophical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)