Geometry & Topology Volume 13, issue 2 (2009)

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

The Weinstein conjecture for stable Hamiltonian structures

Michael Hutchings and Clifford Henry Taubes

Geometry & Topology 13 (2009) 901–941

DOI: 10.2140/gt.2009.13.901

Bibliography

1	C Abbas, K Cieliebak, H Hofer, The Weinstein conjecture for planar contact structures in dimension three, Comment. Math. Helv. 80 (2005) 771 MR2182700
2	F Bourgeois, K Cieliebak, T Ekholm, A note on Reeb dynamics on the tight $3$–sphere, J. Mod. Dyn. 1 (2007) 597 MR2342700
3	F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
4	K Cieliebak, K Mohnke, Compactness for punctured holomorphic curves, J. Symplectic Geom. 3 (2005) 589 MR2235856
5	V Colin, K Honda, Reeb vector fields and open book decompositions arXiv:0809.5088
6	D L Dragnev, Fredholm theory and transversality for noncompact pseudoholomorphic maps in symplectizations, Comm. Pure Appl. Math. 57 (2004) 726 MR2038115
7	H Geiges, An introduction to contact topology, Cambridge Studies in Advanced Math. 109, Cambridge University Press (2008) MR2397738
8	H Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993) 515 MR1244912
9	H Hofer, K Wysocki, E Zehnder, Properties of pseudoholomorphic curves in symplectisations. I. Asymptotics, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996) 337 MR1395676
10	H Hofer, K Wysocki, E Zehnder, Properties of pseudoholomorphic curves in symplectisations. II. Embedding controls and algebraic invariants, Geom. Funct. Anal. 5 (1995) 270 MR1334869
11	H Hofer, K Wysocki, E Zehnder, Finite energy foliations of tight three-spheres and Hamiltonian dynamics, Ann. of Math. $(2)$ 157 (2003) 125 MR1954266
12	H Hofer, E Zehnder, Symplectic invariants and Hamiltonian dynamics, Birkhäuser Verlag (1994) MR1306732
13	M Hutchings, An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. 4 (2002) 313 MR1941088
14	M Hutchings, The embedded contact homology index revisited, to appear in the Yashafest proceedings arXiv:0805.1240
15	M Hutchings, Y J Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of $3$–manifolds, Topology 38 (1999) 861 MR1679802
16	M Hutchings, M Sullivan, Rounding corners of polygons and the embedded contact homology of $T^3$, Geom. Topol. 10 (2006) 169 MR2207793
17	M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders. I, J. Symplectic Geom. 5 (2007) 43 MR2371184
18	M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders. II arXiv:0705.2074
19	P Kronheimer, T Mrowka, Monopoles and three-manifolds, New Math. Monogr. 10, Cambridge University Press (2007) MR2388043
20	A Rechtman, Use and disuse of plugs in foliations, preprint (2008)
21	R Siefring, Intersection theory of punctured pseudoholomorphic curves, in preparation
22	R Siefring, The relative asymptotic behavior of pseudoholomorphic half-cylinders, to appear in Comm. Pure Appl. Math. arXiv:math/0702356
23	C H Taubes, The Seiberg–Witten equations and the Weinstein conjecture, Geom. Topol. 11 (2007) 2117 MR2350473
24	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology I–IV, preprints (2008)
25	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology V, in preparation
26	C Wendl, Punctured holomorphic curves with boundary in $3$–manifolds: Fredholm theory and embeddedness, in preparation