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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