Algebraic & Geometric Topology Volume 7, issue 1 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Relationships between braid length and the number of braid strands

Cornelia A Van Cott

Algebraic & Geometric Topology 7 (2007) 181–196

DOI: 10.2140/agt.2007.7.181

Bibliography

1	J Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. USA 9 (1923) 93
2	J S Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies 82, Princeton University Press (1974) MR0375281
3	J S Birman, T E Brendle, Braids: a survey, from: "Handbook of knot theory", Elsevier B. V., Amsterdam (2005) 19 MR2179260
4	J Cha, C Livingston, KnotInfo: an online table of knot invariants
5	T Gittings, Minimum braids: A complete invariant of knots and links arXiv:math.GT/0401051
6	J Hoste, M Thistlethwaite, KnotScape
7	V F R Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. $(2)$ 126 (1987) 335 MR908150
8	K Murasugi, On the braid index of alternating links, Trans. Amer. Math. Soc. 326 (1991) 237 MR1000333
9	K Murasugi, B I Kurpita, A study of braids, Mathematics and its Applications 484, Kluwer Academic Publishers (1999) MR1731872
10	J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, CA, 1976), Part 2", Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc. (1978) 55 MR520522
11	A Stoimenow, On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks, Trans. Amer. Math. Soc. 354 (2002) 3927 MR1926860