Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T16:02:16.498Z Has data issue: false hasContentIssue false
  • English
  • Français

SURGERY GROUPS OF KNOT AND LINK COMPLEMENTS

Published online by Cambridge University Press:  01 July 1997

C. S. ARAVINDA ,
F. T. FARRELL  and
S. K. ROUSHON
C. S. ARAVINDA
Affiliation:
Indian Statistical Institute, Bangalore, India
F. T. FARRELL
Affiliation:
SUNY, Binghampton, NY 13902, USA
S. K. ROUSHON
Affiliation:
Tata Institute of Fundamental Research, Bombay, India
Get access

Abstract

Cappell conjectured the following in ]2]; compare ]11, Problem 2].

Conjecture 0.1. Let π be the fundamental group of a knot complement in [ ]3. Then Lhn(π)≃ Lhn(ℤ), for all n, where Lhnis the Wall–Novikov surgery group for homotopy equivalence, and the isomorphism is induced from the abelianization homomorphism π→ℤ.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 4 , July 1997 , pp. 400 - 406
Copyright
© The London Mathematical 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.)