논문KCI 등재
Cyclic presentations of groups and cyclicbranched coverings of (1,1)-knots
0
조회
0
다운로드
2
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper we study the connections between cyclicpresentations of groups and cyclic branched coverings of (1,1)-knots. In particular, we prove that every n-oldstrongly-cyclic branched covering of a (1,1)-knot admits acyclic presentation for the fundamental group encoded by aHeegaard diagram of genus n.
관련 논문AI추천
Representations of $n$-fold Cyclic Branched Coverings of $(1,1)$-knots up to 10 Crossings as Dunwoody Manifolds김근영, 이상율영남수학회 · East Asian Mathematical Journal2022 · 제38권 제1호CYCLIC BRANCHED COVERS OF ALTERNATING KNOTS AND L-SPACESMasakazu Teragaito대한수학회 · 대한수학회보2015 · 제52권 제4호Revisit to Alexander Modules of 2-generator Knots in the 3-sphere송현종영남수학회 · East Asian Mathematical Journal2020 · 제36권 제3호Heegaard splittings of branched cyclic coverings of connected sums of lens spacesTatyana Kozlovskaya대한수학회 · 대한수학회보2017 · 제54권 제5호On infinite classes of genus two 1-bridge knots김수환, Yangkok Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호On the 2-bridge knots of Dunwoody (1,1)-knots김수환, 김양곡대한수학회 · 대한수학회보2011 · 제48권 제1호
이 간행물의 다른 논문 (15건)
Elementary topics on weak polygroupsB. Davvazpp. 1-8Mappings of conservative distancesSoon-Mo Jungpp. 9-15$\Bbb Z_p$-equivariant Spin$^c$-structuresYoon Hi Hong, Yong Seung Chopp. 17-28$GL_n - $ Decomposition of the Schur Complex $S_r ( \wedge^2 \varphi)$Young H. Kim, Seoung J. Won, Eun J. Choi, Hyoung J. Kopp. 29-51On the stability of the Jensen's equation in a Hilbert moduleWon-Gil Park, Chun-Gil Parkpp. 53-61