Cylindrical contact homology of subcritical Stein-fillable contact manifolds

Yau, Mei-Lin¹

¹ Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA

Geometry & topology, Tome 8 (2004) no. 3, pp. 1243-1280.

Résumé

We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of a subcritical Stein-filling of the contact manifold.

Détail

DOI : 10.2140/gt.2004.8.1243

Keywords: subcritical Stein-fillable contact manifold, cylindrical contact homology, holomorphic curves, contact handles, Reeb vector field

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