34 citations · 70 across the 6 of their papers we have counts for
6 papers
Lagrangian Approximation of Totally Real Concordances
Georgios Dimitroglou Rizell
We show that a two-dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively…
Exact Lagrangians in four-dimensional symplectisations
Georgios Dimitroglou Rizell
In this note we provide explicit constructions of exact Lagrangian embeddings of tori and Klein bottles inside the symplectisation of an overtwisted contact three-manifold. Note th…
-limits of Legendrians and positive loops
Georgios Dimitroglou Rizell, Michael G. Sullivan
We show that the image of a Legendrian submanifold under a homeomorphism that is the -limit of a sequence of contactomorphisms is again Legendrian, if the image of the submani…
The persistence of a relative Rabinowitz-Floer complex
Georgios Dimitroglou Rizell, Michael G. Sullivan
We give a quantitative refinement of the invariance of the Legendrian contact homology algebra in general contact manifolds. We show that in this general case, the Lagrangian cobor…
Lagrangian isotopy of tori in and
Georgios Dimitroglou Rizell, Elizabeth Goodman, Alexander Ivrii
We show that, up to Lagrangian isotopy, there is a unique Lagrangian torus inside each of the following uniruled symplectic four-manifolds: the symplectic vector space $\mathbb{R}^…
Floer theory for Lagrangian cobordisms
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
In this article we define intersection Floer homology for exact Lagrangian cobordisms between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that t…