본문 바로가기
KERD
논문KCI 등재

Representations of the Braid Group and Punctured Torus Bundles

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

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 con- struct an irreducible (special) unitary representation of the fundamental group of a closed 3-manifold obtained by the Dehn filling

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 con- struct an irreducible (special) unitary representation of the fundamental group of a closed 3-manifold obtained by the Dehn filling

참고문헌 (7)

  1. A. Behn, "An algorithmic version of the theorem by Latimer and MacDu ee for 2  2 integral matrices", Linear Algebra Appl., 346, pp.1~14 (2002)
  2. J. Birman, "Braids, links, and mapping class groups, Ann" (1974), PrincetonUniv. Press
  3. J. Dyer, "On the linearity of automorphism groups of free groups, Arch", Math., 38, pp.404~409 (1982)
  4. T. Kitano, "L2-torsion invariants of a surface bundle over S1", J. Math. Soc. Japan, 56, pp.503~518 (2004)
  5. B. Mangum, "Three-dimensional representations of punctured torus bundles", J. Knot Theory Rami cations, 6, pp.817~825 (1997)
  6. T. Morifuji, "Families of representations of punctured torus bundles", J. Math. Sci. Univ. Tokyo, 8, pp.201~210 (2001)
  7. H. Murakami, "The colored Jones polynomials and the simplicial volume of a knot", Acta Math., 186, pp.85~104 (2001)

관련 논문AI추천

이 간행물의 다른 논문 (16건)