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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
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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

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