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)
- 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)
- J. Birman, "Braids, links, and mapping class groups, Ann" (1974), PrincetonUniv. Press
- J. Dyer, "On the linearity of automorphism groups of free groups, Arch", Math., 38, pp.404~409 (1982)
- T. Kitano, "L2-torsion invariants of a surface bundle over S1", J. Math. Soc. Japan, 56, pp.503~518 (2004)
- B. Mangum, "Three-dimensional representations of punctured torus bundles", J. Knot Theory Rami cations, 6, pp.817~825 (1997)
- T. Morifuji, "Families of representations of punctured torus bundles", J. Math. Sci. Univ. Tokyo, 8, pp.201~210 (2001)
- H. Murakami, "The colored Jones polynomials and the simplicial volume of a knot", Acta Math., 186, pp.85~104 (2001)
관련 논문AI추천
Monodromy Maps of Fibered 2-Bridge Knots as Elements in Automorphism Groups of Free GroupsHiroshi Goda, Masaaki Suzuki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Classification of a family of ribbon 2-knots with trivial Alexander polynomialTaizo Kanenobu, Toshio Sumi대한수학회 · 대한수학회논문집2018 · 제33권 제2호Partially abelian representations of knot groups윤석범, 조윤희대한수학회 · 대한수학회보2018 · 제55권 제1호On a Quasitoric Virtual Braid Presentation of a Virtual Link배용주, 서석만경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Heegaard splittings of branched cyclic coverings of connected sums of lens spacesTatyana Kozlovskaya대한수학회 · 대한수학회보2017 · 제54권 제5호The braidings in the mapping class groups of surfaces송용진대한수학회 · 대한수학회지2013 · 제50권 제4호
이 간행물의 다른 논문 (16건)
On Self-commutator ApproximantsBhagwati Prashad Duggalpp. 1-6Uniqueness of Meromorphic Functions That Share Three SetsAbhijit Banerjeepp. 15-29Fractional Integrals and Generalized Olsen InequalitiesHendra Gunawanpp. 31-39Ideals of the Multiplicative Semigroups Zn and their ProductsWattapong Puninagool, Jintana Sanwongpp. 41-46On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by ConvolutionParamasivam Sooriyakala, Natarajan Marikkannanpp. 47-55
