#### Volume 19, issue 7 (2019)

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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
##### 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