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Summary: The fundamental group of a twisted knot: Application
MOHAMED AIT NOUH
Department of Mathematics,
California State University Channel Islands
One University Drive, Camarillo, CA 93012
e-mail: mohamed.aitnouh@csuci.edu
Abstract
In this paper, we study the fundamental group of a twisted knots. As a corollary,
we explicitely give an infinite family of non-twited knots.
1. Introduction
Let K be a knot in the 3-sphere S3
, and D2
a disk intersecting K in its interior. Let
= |lk(D2
, L)|, and n an integer. A -1/n-Dehn surgery along C = D2
changes K
into a new knot Kn in S3
. We say that Kn is obtained from K by (n, )-twisting along
C (see Figure 1).
K
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