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On quantum SU(2) invariants and generalized bridge numbers of knots

Published online by Cambridge University Press:  24 October 2008

Yoshiyuki Yokota
Yoshiyuki Yokota
Affiliation:
Department of Mathematics, Kyushu university 33, Fukuoka, 812, Japan
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Extract

Consider a knot K in a closed, oriented 3-manifold M. A genus g Heegaard decomposition of M is said to be a genus g bridge decomposition of K if it also decomposes K into trivial arcs in each handlebody. The genus g bridge number of K, denoted by bg(K), is defined as the minimal number of trivial arcs in a handlebody among all the genus g bridge decompositions of K [2, 13].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 3 , May 1995 , pp. 545 - 557
Copyright
Copyright © Cambridge Philosophical Society 1995

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