Representations of the Braid Group and Punctured Torus Bundles

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 1,  2009, pp.7-14
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.1.007
Title & Authors
Representations of the Braid Group and Punctured Torus Bundles
Morifuji, Takayuki; Suzuki, Masaaki;

Abstract
In this short note, we consider a family of linear representations of the braid group and the fundamental group of a punctured torus bundle over the circle. We construct an irreducible (special) unitary representation of the fundamental group of a closed 3-manifold obtained by the Dehn filling.
Keywords
representation;braid group;punctured torus bundle;Dehn filling;
Language
English
Cited by
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