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

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.

13 pages, 1 figure, to appear in Algebraic and Geometric Topology

References in corpus (2)

• Quasi-stabilization and basepoint moving maps in link Floer homology
• Concordance maps in knot Floer homology

Cited by in corpus (1)

• Upper bounds for the Lagrangian cobordism relation on Legendrian links