Definition of Cylindrical Contact Homology in dimension three

Published 30 Nov 2014 in math.SG | (1412.0276v3)

Abstract: In this paper we give a rigorous definition of cylindrical contact homology for contact $3$-manifolds that admit nondegenerate contact forms with no contractible Reeb orbits, and show that the cylindrical contact homology is an invariant of the contact structure.

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