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arxiv: 1412.0276 · v3 · pith:IZTR25SRnew · submitted 2014-11-30 · 🧮 math.SG

Definition of Cylindrical Contact Homology in dimension three

classification 🧮 math.SG
keywords contactcylindricalhomologydefinitionadmitcontractibledimensionforms
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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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