55 citations · 212 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
On Legendrian products and twist spuns
Georgios Dimitroglou Rizell, Roman Golovko
The Legendrian product of two Legendrian knots, as defined by Lambert-Cole, is a Legendrian torus. We show that this Legendrian torus is a twist spun whenever one of the Legendrian…
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…
Legendrian submanifolds from Bohr-Sommerfeld covers of monotone Lagrangian tori
Georgios Dimitroglou Rizell, Roman Golovko
By a result due to Ziltener, there exist no closed embedded Bohr-Sommerfeld Lagrangians inside for the prequantisation bundle whose total space is the standard conta…