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STRONGLY $n$-TRIVIAL KNOTS

Published online by Cambridge University Press:  24 March 2003

HUGH HOWARDS  and
JOHN LUECKE
HUGH HOWARDS
Affiliation:
Department of Mathematics, Wake Forest University, Winston Salem, NC 27109, USAhowards@wfu.edu
JOHN LUECKE
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USAluecke@fireant.ma.utexas.edu
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Abstract

The authors prove in this paper that, given any knot $k$ of genus $g$ , $k$ fails to be strongly $n$ -trivial for all $n$ with $n\ge 6g-3$ .

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 4 , July 2002 , pp. 431 - 437
Copyright
© The London Mathematical Society 2002

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