An exact sequence for Legendrian links

Eslami Rad, Anahita

doi:10.2140/agt.2015.15.191

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An exact sequence for Legendrian links

Anahita Eslami Rad

Algebraic & Geometric Topology 15 (2015) 191–230

DOI: 10.2140/agt.2015.15.191

Abstract

We obtain an exact sequence of cyclic Legendrian homology for Legendrian links. We present some examples in $3$ dimensions and higher. In higher dimensions we count holomorphic curves via Morse flow trees developed by Ekholm.

Keywords

Legendrian surgery, Contact homology, Legendrian submanifolds

Mathematical Subject Classification 2010

Primary: 53D42

Secondary: 57R17

References

Publication

Received: 18 November 2013

Revised: 15 June 2014

Accepted: 16 June 2014

Published: 23 March 2015

Authors

Anahita Eslami Rad
Département de Mathématiques Université Libre de Bruxelles CP 218 Boulevard du Triomphe 1050 Bruxelles Belgium

Volume 15, issue 1 (2015)