arXiv:2611.14682v1 Announce Type: new Abstract: We consider a version of Legendrian contact homology filtered by the action of Reeb chords. In this version, a union of two disjoint exact Lagrangian cobordisms with Legendrian boundary conditions gives rise to a morphism between persistence modules. We discuss a certain algebraic invariant of such morphisms and use it to obtain obstructions to Lagrangian isotopies of the cobordisms, as well as applications to symplectic and contact dynamics.
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