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Symmetry of links and classification of lens spaces
by
Akira Yasuhara
Tokyo Gakugei University and George Washington University
Coauthors: Jozef H. Przytycki (George Washington University)
We give a concise proof of a classification of lens spaces up to orientation-preserving homeomorphisms. Our method is motivated by that of Fox-Brody. While the chief ingredient in their proof was a study of the Alexander polynomial of knots in lens spaces, we study the Alexander polynomial of symmetric' links in S3.
Date received: November 22, 2000
Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cafy-03.