Volume 9, issue 4 (2005)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 30
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Contact homology and one parameter families of Legendrian knots

Tamas Kalman

Geometry & Topology 9 (2005) 2013–2078
Bibliography
1 V I Arnol’d, Invariants and perestroikas of fronts on a plane, Trudy Mat. Inst. Steklov. 209 (1995) 14 MR1422217
2 C Benham, X S Lin, D Miller, Subspaces of knot spaces, Proc. Amer. Math. Soc. 129 (2001) 3121 MR1840119
3 D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 87 MR753131
4 F Bourgeois, Contact homology and homotopy groups of the space of contact structures, Math. Res. Lett. 13 (2006) 71 MR2200047
5 Y Chekanov, New invariants of Legendrian knots, from: "European Congress of Mathematics, Vol II (Barcelona, 2000)", Progr. Math. 202, Birkhäuser (2001) 525 MR1909953
6 Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
7 T Ekholm, J Etnyre, M Sullivan, Legendrian submanifolds in $\mathbb{R}^{2n+1}$ and contact homology arXiv:math.SG/0210124
8 Y Eliashberg, M Fraser, Classification of topologically trivial Legendrian knots, from: "Geometry, topology, and dynamics (Montreal, PQ, 1995)", CRM Proc. Lecture Notes 15, Amer. Math. Soc. (1998) 17 MR1619122
9 Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
10 J B Etnyre, Legendrian and transversal knots, from: "Handbook of knot theory", Elsevier B. V., Amsterdam (2005) 105 MR2179261
11 J B Etnyre, K Honda, Knots and contact geometry I: Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
12 J B Etnyre, K Honda, On connected sums and Legendrian knots, Adv. Math. 179 (2003) 59 MR2004728
13 J B Etnyre, K Honda, Cabling and transverse simplicity, Ann. of Math. $(2)$ 162 (2005) 1305 MR2179731
14 J B Etnyre, L L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
15 Y Félix, S Halperin, J C Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology", North-Holland (1995) 829 MR1361901
16 A Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989) 575 MR987770
17 G K Francis, Extensions to the disk of properly nested plane immersions of the circle, Michigan Math. J. 17 (1970) 377 MR0284985
18 D Fuchs, Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations, J. Geom. Phys. 47 (2003) 43 MR1985483
19 D Fuchs, T Ishkhanov, Invariants of Legendrian knots and decompositions of front diagrams, Mosc. Math. J. 4 (2004) 707, 783 MR2119145
20 A Hatcher, Spaces of knots arXiv:math.GT/9909095
21 M Hutchings, Floer homology of families I, Algebr. Geom. Topol. 8 (2008) 435 MR2443235
22 M Hutchings, Floer homology of families II: symplectomorphisms, in preparation
23 L L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
24 V Poénaru, Extension des immersions en codimension 1 (d'après Samuel Blank), from: "Séminaire Bourbaki, Vol. 10", Soc. Math. France (1995) 473 MR1610469
25 J M Sabloff, Augmentations and rulings of Legendrian knots, Int. Math. Res. Not. (2005) 1157 MR2147057
26 P Seidel, $\pi_1$ of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754