지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The surface singular braid monoid corresponds to marked graph diagrams of knotted surfaces in braid form. In a quest to resolve linearity problem for this monoid, we will show that if it is defined on at least two or at least three strands, then its two or respectively three dimensional representations are not faithful. We will also derive new presentations for the surface singular braid monoid, one with reduced the number of defining relations, and the other with reduced the number of its singular generators. We include surface singular braid formulations of all knotted surfaces in Yoshikawa's table.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
A. Kawauchi / 1982 / Descriptions on surfaces in four-space. I:Normal forms / Math. Sem. Knotes Kobe Univ 10 (1) : 72 ~ 125
B. Gemein / 2001 / Representations of the singular braid monoid and group invariants of sin-gular knots / Topology Appl 114 (2) : 117 ~ 140
C. Kearton / 2008 / All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron / Algebr. Geom. Topology 8 (3) : 1223 ~ 1247
E. C. Zeeman / 1965 / Twisting spun knots / Trans. Amer. Math. Soc 115 : 417 ~ 495
F. J. Swenton / 2001 / On a calculus for 2-knots and surfaces in 4-space / J. Knot Theory Ramifications 10 (8) : 1133 ~ 1141
B. Gemein / 2001 / Representations of the singular braid monoid and group invariants of sin-gular knots / Topology Appl 114 (2) : 117 ~ 140
C. Kearton / 2008 / All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron / Algebr. Geom. Topology 8 (3) : 1223 ~ 1247
E. C. Zeeman / 1965 / Twisting spun knots / Trans. Amer. Math. Soc 115 : 417 ~ 495
F. J. Swenton / 2001 / On a calculus for 2-knots and surfaces in 4-space / J. Knot Theory Ramifications 10 (8) : 1133 ~ 1141
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ON THE QUASITORIC BRAID INDEX OF A LINK
대한수학회지
2015 .01
-
On a Quasitoric Virtual Braid Presentation of a Virtual Link
Kyungpook Mathematical Journal
2015 .01
-
A characterization of finite factorization positive monoids
대한수학회논문집
2022 .07
-
Dipolar Braiding Statistics in Two Dimensions
한국자기학회 학술연구발표회 논문개요집
2022 .05
-
On Minimal Unknotting Crossing Data for Closed Toric Braids
Kyungpook Mathematical Journal
2017 .06
-
On the Braid Index of Kanenobu Knots
Kyungpook Mathematical Journal
2015 .01
-
Crystal orientation and morphology of Ag nanoclusters grown on the hydrogen-terminated Si(111)-(1×1) surface
한국진공학회 학술발표회초록집
2016 .08
-
Nonlinear etching process of hydrogen-terminated Si(110)-(1×1) surfaces
한국진공학회 학술발표회초록집
2016 .08
-
A weaker notion of the finite factorization property
대한수학회논문집
2024 .04
-
On the sets of lengths of Puiseux monoids generated by multiple geometric sequences
대한수학회논문집
2020 .01
-
Crossed semimodules and cat$^{\bf 1}$-monoids
한국수학논문집
2019 .01
-
Erratum : Oriented transformations on a finite chain: another description
대한수학회논문집
2024 .07
-
Terminal spaces of monoids
대한수학회논문집
2024 .01
-
Electrical resistance across atomic steps on topological insulator Pb-dopedBi2Te3 surface
한국진공학회 학술발표회초록집
2016 .08
-
On Crossing Changes for Surface‑Knots
Kyungpook Mathematical Journal
2016 .01
-
AN ELEMENTARY PROOF OF THE EFFECT OF 3-MOVE ON THE JONES POLYNOMIAL
순수 및 응용수학
2018 .01
-
The basket numbers of knots
한국수학논문집
2015 .01
-
조선시대 왕실 예복에 사용된 다회(多繪) 및 망수(網綬) 연구
복식
2016 .08
-
On annihilations of ideals in skew monoid rings
대한수학회지
2016 .01
-
On clean and nil clean elements in skew t.u.p.~monoid rings
대한수학회보
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0