Sutures and contact homology I

Colin, Vincent¹ ; Ghiggini, Paolo² ; Honda, Ko³ ; Hutchings, Michael⁴

¹ Laboratoire de Mathématiques Jean Leray, UMR6629 du CNRS, Université de Nantes, 2 rue de la Houssinière, F-44322 Nantes, France
² Laboratoire de Mathématiques Jean Leray, UMR 6629 du CNRS, Université de Nantes, 2 rue de la Houssinière, F-44322 Nantes, France
³ Department of Mathematics, University of Southern California, 3620 S Vermont Ave, Los Angeles CA 90089, USA
⁴ Mathematics Department, University of California, Berkeley, 970 Evans Hall, Berkeley CA 94720, USA

Geometry & topology, Tome 15 (2011) no. 3, pp. 1749-1842.

Résumé

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.

Détail

DOI : 10.2140/gt.2011.15.1749

Keywords: contact structure, sutured manifold, contact homology, Reeb dynamics, embedded contact homology

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