#### Volume 14, issue 6 (2014)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Embedded annuli and Jones' conjecture

### Douglas J LaFountain and William W Menasco

Algebraic & Geometric Topology 14 (2014) 3589–3601
##### Bibliography
 1 J W Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. U.S.A. 9 (1923) 93 2 J S Birman, E Finkelstein, Studying surfaces via closed braids, J. Knot Theory Ramifications 7 (1998) 267 MR1625362 3 J S Birman, W W Menasco, Studying links via closed braids, V: The unlink, Trans. Amer. Math. Soc. 329 (1992) 585 MR1030509 4 J S Birman, W W Menasco, On Markov's theorem, J. Knot Theory Ramifications 11 (2002) 295 MR1905686 5 J S Birman, W W Menasco, Stabilization in the braid groups, I: MTWS, Geom. Topol. 10 (2006) 413 MR2224463 6 I A Dynnikov, M V Prasolov, Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions, Tr. Mosk. Mat. Obs. 74 (2013) 115 7 J B Etnyre, J Van Horn-Morris, Fibered transverse knots and the Bennequin bound, Int. Math. Res. Not. 2011 (2011) 1483 MR2806512 8 V F R Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987) 335 MR908150 9 K Kawamuro, The algebraic crossing number and the braid index of knots and links, Algebr. Geom. Topol. 6 (2006) 2313 MR2286028 10 K Kawamuro, Conjectures on the braid index and the algebraic crossing number, from: "Intelligence of low dimensional topology 2006" (editors J S Carter, S Kamada, L H Kauffman, A Kawauchi, T Kohno), Ser. Knots Everything 40, World Sci. Publ. (2007) 151 MR2371720 11 A Stoimenow, Properties of closed $3$–braids, (2007) arXiv:math/0606435