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

Part of: Low-dimensional topology

Published online by Cambridge University Press:  13 January 2010

TORU IKEDA
TORU IKEDA*
Affiliation:
Department of Mathematics, Faculty of Science, Kochi University, 2-5-1 Akebono-Cho, Kochi 780-8520, Japan (email: [email protected])
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Abstract

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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.

Keywords

graph linkinvolutionfixed point setclosed surface

MSC classification

Secondary: 57M25: Knots and links in $S^3$
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 2 , April 2010 , pp. 298 - 303
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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