Representations of the braid group and punctured torus bundles

Takayuki Morifuji; Masaaki Suzuki

doi:10.5666/KMJ.2009.49.1.007

Representations of the braid group and punctured torus bundles

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	7-14
Number of pages	8
Journal	Kyungpook Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2009.49.1.007
Publication status	Published - 2009 Jul
Externally published	Yes

Keywords

Braid group
Dehn filling
Punctured torus bundle
Representation

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.5666/KMJ.2009.49.1.007

Cite this

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title = "Representations of the braid group and punctured torus bundles",

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 = "Braid group, Dehn filling, Punctured torus bundle, Representation",

author = "Takayuki Morifuji and Masaaki Suzuki",

year = "2009",

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KW - Braid group

KW - Dehn filling

KW - Punctured torus bundle

KW - Representation

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Representations of the braid group and punctured torus bundles

Abstract

Keywords

ASJC Scopus subject areas

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