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INVOLUTIONS OF GRAPH LINK EXTERIORS WHOSE FIXED POINT SETS ARE CLOSED SURFACES

Published online by Cambridge University Press:  13 January 2010

TORU IKEDA
Affiliation:
Department of Mathematics, Faculty of Science, Kochi University, 2-5-1 Akebono-Cho, Kochi 780-8520, Japan (email: ikedat@kochi-u.ac.jp)
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Abstract

A link L in S3 possibly admits an involution of the exterior E(L) with fixed point set a closed surface, which is not extendable to an involution of S3. In this paper, we focus on the case of graph links and show that the genus of the surface provides a lower estimate of the number of link components.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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INVOLUTIONS OF GRAPH LINK EXTERIORS WHOSE FIXED POINT SETS ARE CLOSED SURFACES
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