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

Marco Golla (1, 2) , András Juhász

1 CNRS - Centre National de la Recherche Scientifique
2 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Domaines: Topologie géométrique [math.GT]

Marco Golla, András Juhász. Functoriality of the EH class and the LOSS invariant under Lagrangian concordances. Algebraic and Geometric Topology, 2019, 19 (7), pp.3683-3699. ⟨10.2140/agt.2019.19.3683⟩. ⟨hal-02182675⟩