Geometry & Topology Volume 15, issue 3 (2011)

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

Mathematical Subject Classification

Primary: 57M50

Secondary: 53D10, 53D40

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

Authors

Vincent Colin
\!\!Laboratoire de Mathématiques Jean Leray UMR\! 6629 du CNRS Université de Nantes 2 rue de la Houssinière F-44322 Nantes France
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
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
http://www-bcf.usc.edu/~khonda/
Michael Hutchings
\!\!Mathematics Department University of California, Berkeley 970 Evans Hall Berkeley CA 94720 USA
http://math.berkeley.edu/~hutching