Geometry & Topology Volume 11, issue 2 (2007)

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

Morse flow trees and Legendrian contact homology in 1–jet spaces

Tobias Ekholm

Geometry & Topology 11 (2007) 1083–1224

DOI: 10.2140/gt.2007.11.1083

Bibliography

1	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
2	T Ekholm, J Etnyre, L Ng, M Sullivan, The contact homology of conormal lifts of knots and links
3	T Ekholm, J Etnyre, M Sullivan, Non-isotopic Legendrian submanifolds in $\mathbb{R}^{2n+1}$, J. Differential Geom. 71 (2005) 85 MR2191769
4	T Ekholm, J Etnyre, M Sullivan, The contact homology of Legendrian submanifolds in $\mathbb{R}^{2n+1}$, J. Differential Geom. 71 (2005) 177 MR2197142
5	T Ekholm, J Etnyre, M Sullivan, Orientations in Legendrian contact homology and exact Lagrangian immersions, Internat. J. Math. 16 (2005) 453 MR2141318
6	T Ekholm, J Etnyre, M Sullivan, The Contact Homology of Legendrian Submanifolds in $P\times\mathbb{R}$, Trans. Amer. Math. Soc. (to appear) arXiv:math.SG/0505451
7	Y Eliashberg, Invariants in contact topology, from: "Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998)" (1998) 327 MR1648083
8	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
9	M Entov, Surgery on Lagrangian and Legendrian singularities, Geom. Funct. Anal. 9 (1999) 298 MR1692478
10	J B Etnyre, L L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
11	A Floer, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988) 775 MR948771
12	A Floer, Witten's complex and infinite-dimensional Morse theory, J. Differential Geom. 30 (1989) 207 MR1001276
13	A Floer, Monopoles on asymptotically flat manifolds, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 3 MR1362821
14	K Fukaya, Y G Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1997) 96 MR1480992
15	J Milnor, Morse theory, Annals of Mathematics Studies 51, Princeton University Press (1963) MR0163331
16	L Ng, Knot and braid invariants from contact homology I, Geom. Topol. 9 (2005) 247 MR2116316
17	L Ng, Knot and braid invariants from contact homology II, Geom. Topol. 9 (2005) 1603 MR2175153
18	Y G Oh, Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions, Comm. Pure Appl. Math. 45 (1992) 121 MR1135926
19	J C Sikorav, Some properties of holomorphic curves in almost complex manifolds, from: "Holomorphic curves in symplectic geometry", Progr. Math. 117, Birkhäuser (1994) 165 MR1274929
20	S Smale, On gradient dynamical systems, Ann. of Math. $(2)$ 74 (1961) 199 MR0133139