8 papers
Instability of Legendrian knottedness, and non-regular Lagrangian concordances of knots
Georgios Dimitroglou Rizell, Roman Golovko
We show that the family of smoothly non-isotopic Legendrian pretzel knots from the work of Cornwell-Ng-Sivek that all have the same Legendrian invariants as the standard unknot hav…
Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots
Georgios Dimitroglou Rizell, Roman Golovko
In this short note, we construct a family of non-regular, and therefore non-decomposable, Lagrangian concordances between Lagrangian fillable Legendrian knots in the standard conta…
Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini
This is the first of a series of two articles aiming at relating the compact Fukaya category of a Weinstein manifold to the derived category of finite dimensional representations o…
On weakly exact Lagrangians in Liouville bi-fillings
Georgios Dimitroglou Rizell
Here we study several questions concerning Liouville domains that are diffeomorphic to cylinders, so called trivial bi-fillings, for which the Liouville skeleton moreover is smooth…
Construction of symplectic flexible links
Johan Björklund, Georgios Dimitroglou Rizell
We show that any smooth one-dimensional link in the real projective three-plane is the fixed-point locus of a smooth symplectic surface in the complex projective three-plane which…
Rationally Convex Surfaces with hyperbolic complex tangencies
Georgios Dimitroglou Rizell, Mark G. Lawrence
We construct the first examples of rationally convex surfaces in the complex plane with hyperbolic complex tangencies. In fact, we give two very different types of rationally conve…