Representations of the braid group and punctured torus bundles

Takayuki Morifuji, Masaaki Suzuki

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)7-14
Number of pages8
JournalKyungpook Mathematical Journal
Volume49
Issue number1
Publication statusPublished - 2009 Jul
Externally publishedYes

Fingerprint

Braid Group
Fundamental Group
Bundle
Torus
Dehn Filling
Linear Representation
Unitary Representation
Circle
Closed
Family

Keywords

  • Braid group
  • Dehn filling
  • Punctured torus bundle
  • Representation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Representations of the braid group and punctured torus bundles. / Morifuji, Takayuki; Suzuki, Masaaki.

In: Kyungpook Mathematical Journal, Vol. 49, No. 1, 07.2009, p. 7-14.

Research output: Contribution to journalArticle

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