Geometry & Topology Volume 9, issue 1 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Knot and braid invariants from contact homology I

Lenhard Ng

Geometry & Topology 9 (2005) 247–297

DOI: 10.2140/gt.2005.9.247

Bibliography

1	J S Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies 82, Princeton University Press (1974) MR0375281
2	G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (2003) MR1959408
3	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
4	J H Conway, An enumeration of knots and links, and some of their algebraic properties, from: "Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967)", Pergamon (1970) 329 MR0258014
5	T Ekholm, J Etnyre, M Sullivan, Legendrian submanifolds in $R^{2n+1}$ and contact homology arXiv:math.SG/0210124
6	Y Eliashberg, Invariants in contact topology, from: "Proceedings of the International Congress of Mathematicians, Vol II (Berlin, 1998)" (1998) 327 MR1648083
7	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
8	J Epstein, D Fuchs, M Meyer, Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots, Pacific J. Math. 201 (2001) 89 MR1867893
9	J B Etnyre, L L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
10	K Fukaya, Y G Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1997) 96 MR1480992
11	J Helton, R Miller, M Stankus, NCAlgebra: a Mathematica package for doing non commuting algebra
12	S P Humphries, An approach to automorphisms of free groups and braids via transvections, Math. Z. 209 (1992) 131 MR1143219
13	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
14	D Krammer, The braid group $B_4$ is linear, Invent. Math. 142 (2000) 451 MR1804157
15	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
16	W Magnus, Rings of Fricke characters and automorphism groups of free groups, Math. Z. 170 (1980) 91 MR558891
17	P Melvin, S Shrestha, The nonuniqueness of Chekanov polynomials of Legendrian knots, Geom. Topol. 9 (2005) 1221 MR2174265
18	L L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
19	L Ng, Knot and braid invariants from contact homology II, Geom. Topol. 9 (2005) 1603 MR2175153
20	H Ooguri, C Vafa, Knot invariants and topological strings, Nuclear Phys. B 577 (2000) 419 MR1765411
21	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
22	D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
23	J M Sabloff, Invariants of Legendrian knots in circle bundles, Commun. Contemp. Math. 5 (2003) 569 MR2003211