2 papers
math.SG2020
Families of Legendrians and Lagrangians with unbounded spectral norm
Georgios Dimitroglou Rizell
Viterbo has conjectured that any Lagrangian in the unit co-disc bundle of a torus which is Hamiltonian isotopic to the zero-section satisfies a uniform bound on its spectral norm;…
math.SG2018
The persistence of the Chekanov-Eliashberg algebra
Georgios Dimitroglou Rizell, Michael G. Sullivan
We apply the barcodes of persistent homology theory to the Chekanov-Eliashberg algebra of a Legendrian submanifold to deduce displacement energy bounds for arbitrary Legendrians. W…