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A certain linear representation of the classical braid group and its application to surface braids

Published online by Cambridge University Press:  28 September 2006

ISAO HASEGAWA
ISAO HASEGAWA
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan. e-mail: haseisao@ms.u-tokyo.ac.jp
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Abstract

In two-dimensional knot theory, the relationship between surface-links and surface braids has been studied. A surface braid is described by a monodromy representation on a punctured disk which maps into the classical braid group. In this paper, we study a surface braid via a linear representation of the classical braid group and give a remarkable example of surface braids.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 141 , Issue 2 , September 2006 , pp. 287 - 301
Copyright
2006 Cambridge Philosophical Society

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