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Functoriality of the $\mathrm{EH}$ class and the LOSS invariant under Lagrangian concordances

Marco Golla and András Juhász

Algebraic & Geometric Topology 19 (2019) 3683–3699
Abstract

We show that the EH class and the LOSS invariant of Legendrian knots in contact 3–manifolds are functorial under regular Lagrangian concordances in Weinstein cobordisms. This gives computable obstructions to the existence of regular Lagrangian concordances.

Keywords
contact structure, Legendrian knot, Lagrangian cobordism
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57R17, 57R58
References
Publication
Received: 16 August 2018
Revised: 24 March 2019
Accepted: 3 April 2019
Published: 17 December 2019
Authors
Marco Golla
Laboratoire de Mathématiques Jean Leray
Université de Nantes
Nantes
France
András Juhász
Mathematical Institute
University of Oxford
Oxford
United Kingdom