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Proof of the Arnold chord conjecture in three dimensions II

Authors :
Hutchings, Michael
Taubes, Clifford Henry
Source :
Geom. Topol. 17 (2013) 2601-2688
Publication Year :
2011

Abstract

In "Proof of the Arnold chord conjecture in three dimensions I", we deduced the Arnold chord conjecture in three dimensions from another result, which asserts that an exact symplectic cobordism between contact three-manifolds induces a map on (filtered) embedded contact homology satisfying certain axioms. The present paper proves the latter result, thus completing the proof of the three-dimensional chord conjecture. We also prove that filtered embedded contact homology does not depend on the choice of almost complex structure used to define it.<br />Comment: v2 has minor corrections; to appear in Geometry and Topology

Subjects

Subjects :
Mathematics - Symplectic Geometry

Details

Database :
arXiv
Journal :
Geom. Topol. 17 (2013) 2601-2688
Publication Type :
Report
Accession number :
edsarx.1111.3324
Document Type :
Working Paper
Full Text :
https://doi.org/10.2140/gt.2013.17.2601