Functoriality of the EH class and the LOSS invariant under Lagrangian concordances

Golla, Marco; Juhász, András

doi:10.2140/agt.2019.19.3683

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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

DOI: 10.2140/agt.2019.19.3683

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

Volume 19, issue 7 (2019)