Geometry & Topology Volume 17, issue 5 (2013)

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Proof of the Arnold chord conjecture in three dimensions, II

Michael Hutchings and Clifford Henry Taubes

Geometry & Topology 17 (2013) 2601–2688

DOI: 10.2140/gt.2013.17.2601

Bibliography

1	M F Atiyah, V K Patodi, I M Singer, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Cambridge Philos. Soc. 77 (1975) 43 MR0397797
2	H Federer, Geometric measure theory, 153, Springer (1969) MR0257325
3	C Hummel, Gromov’s compactness theorem for pseudo-holomorphic curves, 151, Birkhäuser (1997) MR1451624
4	M Hutchings, Lecture notes on embedded contact homology arXiv:1303.5789
5	M Hutchings, An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. 4 (2002) 313 MR1941088
6	M Hutchings, The embedded contact homology index revisited, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 263 MR2555941
7	M Hutchings, Embedded contact homology and its applications, from: "Proc. ICM, Vol. II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 1022 MR2827830
8	M Hutchings, Quantitative embedded contact homology, J. Differential Geom. 88 (2011) 231 MR2838266
9	M Hutchings, M Sullivan, Rounding corners of polygons and the embedded contact homology of T³, Geom. Topol. 10 (2006) 169 MR2207793
10	M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders, I, J. Symplectic Geom. 5 (2007) 43 MR2371184
11	M Hutchings, C H Taubes, Gluing pseudoholomorphic curves along branched covered cylinders, II, J. Symplectic Geom. 7 (2009) 29 MR2491716
12	M Hutchings, C H Taubes, Proof of the Arnold chord conjecture in three dimensions, I, Math. Res. Lett. 18 (2011) 295 MR2784673
13	P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
14	J Latschev, C Wendl, Algebraic torsion in contact manifolds, Geom. Funct. Anal. 21 (2011) 1144 MR2846386
15	F Morgan, Geometric measure theory : A beginner’s guide, Elsevier (2009) MR2455580
16	C B Morrey Jr., Multiple integrals in the calculus of variations, 130, Springer (1966) MR0202511
17	C H Taubes, Gr ⇒ SW : From pseudo-holomorphic curves to Seiberg–Witten solutions, from: "Seiberg–Witten and Gromov invariants for symplectic 4–manifolds" (editor R Wentworth), First Int. Press Lect. Ser. 2, International Press (2000) 163
18	C H Taubes, SW ⇒ Gr : From the Seiberg–Witten equations to pseudo-holomorphic curves, from: "Seiberg–Witten and Gromov invariants for symplectic 4–manifolds" (editor R Wentworth), First Int. Press Lect. Ser. 2, International Press (2000) 1
19	C H Taubes, The Seiberg–Witten equations and the Weinstein conjecture, Geom. Topol. 11 (2007) 2117 MR2350473
20	C H Taubes, The Seiberg–Witten equations and the Weinstein conjecture, II : More closed integral curves of the Reeb vector field, Geom. Topol. 13 (2009) 1337 MR2496048
21	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, I, Geom. Topol. 14 (2010) 2497 MR2746723
22	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, II, Geom. Topol. 14 (2010) 2583 MR2746724
23	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, III, Geom. Topol. 14 (2010) 2721 MR2746725
24	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, IV, Geom. Topol. 14 (2010) 2819 MR2746726
25	C H Taubes, Embedded contact homology and Seiberg–Witten Floer cohomology, V, Geom. Topol. 14 (2010) 2961 MR2746727
26	J G Wolfson, Gromov’s compactness of pseudo-holomorphic curves and symplectic geometry, J. Differential Geom. 28 (1988) 383 MR965221
27	R Ye, Gromov’s compactness theorem for pseudo holomorphic curves, Trans. Amer. Math. Soc. 342 (1994) 671 MR1176088