Geometry & Topology Volume 10, issue 3 (2006)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

Stabilization in the braid groups II: Transversal simplicity of knots

Joan S Birman and William W Menasco

Geometry & Topology 10 (2006) 1425–1452

DOI: 10.2140/gt.2006.10.1425

Bibliography

1	V I Arnol’d, Topological invariants of plane curves and caustics, University Lecture Series 5, American Mathematical Society (1994) MR1286249
2	D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 87 MR753131
3	J S Birman, E Finkelstein, Studying surfaces via closed braids, J. Knot Theory Ramifications 7 (1998) 267 MR1625362
4	J S Birman, W W Menasco, Studying links via closed braids III: Classifying links which are closed 3–braids, Pacific J. Math. 161 (1993) 25 MR1237139
5	J S Birman, W W Menasco, On Markov's theorem, J. Knot Theory Ramifications 11 (2002) 295 MR1905686
6	J S Birman, W W Menasco, Stabilization in the braid groups I: MTWS, Geom. Topol. 10 (2006) 413 MR2224463
7	J S Birman, N C Wrinkle, On transversally simple knots, J. Differential Geom. 55 (2000) 325 MR1847313
8	Y Eliashberg, Legendrian and transversal knots in tight contact 3–manifolds, from: "Topological methods in modern mathematics (Stony Brook, NY, 1991)", Publish or Perish (1993) 171 MR1215964
9	J B Etnyre, K Honda, Cabling and transverse simplicity, Ann. of Math. $(2)$ 162 (2005) 1305 MR2179731
10	D Fuchs, S Tabachnikov, Invariants of Legendrian and transverse knots in the standard contact space, Topology 36 (1997) 1025 MR1445553
11	E Giroux, Géométrie de Contact:de la Dimension Trois vers les Dimensions Supérieures arXiv:math.GT/0305129
12	K H Ko, S J Lee, Flypes of closed 3–braids in the standard contact space, J. Korean Math. Soc. 36 (1999) 51 MR1669133
13	H R Morton, Infinitely many fibred knots having the same Alexander polynomial, Topology 17 (1978) 101 MR486796
14	K Murasugi, On closed 3–braids, American Mathematical Society (1974) MR0356023
15	S Y Orevkov, V V Shevchishin, Markov theorem for transversal links, J. Knot Theory Ramifications 12 (2003) 905 MR2017961
16	N Wrinkle, PhD thesis, Columbia University (2002)