BRAIDS AND MOVIES-Reference-Cited by-同舟云学术

BRAIDS AND MOVIES

Published:1996-10 Issue:05 Volume:05 Page:589-608
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

CARTER J. SCOTT¹,SAITO MASAHICO²

Affiliation:

1. Department of Mathematics, University of South Alabama, Mobile, Alabama 36688, USA

2. Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA

Abstract

Knotted surfaces in 4-space are described by sequences of classical braids. We provide a finite set of moves to such sequences of classical braid words such that two sequences represent the same knotting if and only if they are related by a sequence of moves in this set.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216596000345

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Infinite sequences of mutually non-conjugate surface braids representing same surface-links;Proceedings of the American Mathematical Society;2011-05-25

2. Loop spaces, and coherence for monoidal and braided monoidal bicategories;Advances in Mathematics;2011-03

3. Braid cobordisms, triangulated categories, and flag varieties;Homology, Homotopy and Applications;2007

4. The braid index is not additive for the connected sum of 2-knots;Transactions of the American Mathematical Society;2006-12-01

5. FINITE TYPE INVARIANTS FOR SINGULAR SURFACE BRAIDS ASSOCIATED WITH SIMPLE 1-HANDLE SURGERIES;Journal of Knot Theory and Its Ramifications;2004-02