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Sutures and contact
homology I
Vincent Colin, Paolo Ghiggini, Ko Honda and Michael Hutchings |
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Geometry & Topology 15 (2011) 1749–1842
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Abstract |
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We define a relative version of contact homology for contact manifolds with convex boundary and prove basic properties of this relative contact homology. Similar considerations also hold for embedded contact homology. |
Keywords
contact structure, sutured manifold, contact homology, Reeb
dynamics, embedded contact homology
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Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 53D10, 53D40
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References |
Publication
Received: 27 April 2010
Revised: 12 July 2011
Accepted: 16 August 2011
Published: 14 October 2011
Proposed: Yasha Eliashberg
Seconded: Peter S Ozsváth, Leonid Polterovich
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Authors |
| Vincent Colin | |
| Laboratoire de Mathématiques Jean
Leray UMR6629 du CNRS Université de Nantes 2 rue de la Houssinière F-44322 Nantes France |
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| http://www.math.sciences.univ-nantes.fr/~vcolin/ | |
| Paolo Ghiggini | |
| Laboratoire de Mathématiques Jean
Leray UMR 6629 du CNRS Université de Nantes 2 rue de la Houssinière F-44322 Nantes France |
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| http://www.math.sciences.univ-nantes.fr/~ghiggini | |
| Ko Honda | |
| Department of Mathematics University of Southern California 3620 S Vermont Ave Los Angeles CA 90089 USA |
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| http://www-bcf.usc.edu/~khonda/ | |
| Michael Hutchings | |
| Mathematics Department University of California, Berkeley 970 Evans Hall Berkeley CA 94720 USA |
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| http://math.berkeley.edu/~hutching | |
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