5 papers
-limits of Legendrian knots and contact non-squeezing
Georgios Dimitroglou Rizell, Michael G. Sullivan
Take a sequence of contactomorphisms of a contact three-manifold that -converges to a homeomorphism. If the images of a Legendrian knot limit to a smooth knot under this seque…
Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
Laurent Côté, Georgios Dimitroglou Rizell
We classify weakly exact, rational Lagrangian tori in up to Hamiltonian isotopy. This result is related to the classification theory of closed…
Bulky Hamiltonian isotopies of Lagrangian tori with applications
Georgios Dimitroglou Rizell
We exhibit monotone Lagrangian tori inside the standard symplectic four-dimensional unit ball that become Hamiltonian isotopic to the Clifford torus, i.e.~the standard product toru…
Refined disk potentials for immersed Lagrangian surfaces
Georgios Dimitroglou Rizell, Tobias Ekholm, Dmitry Tonkonog
We define a refined Gromov-Witten disk potential of self-transverse monotone immersed Lagrangian surfaces in a symplectic 4-manifold as an element in a capped version of the Chekan…
Noncommutative augmentation categories
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
To a differential graded algebra with coefficients in a noncommutative algebra, by dualisation we associate an -category whose objects are augmentations. This generalises…