Georgios Dimitroglou Rizell

Estimating the number of Reeb chords using a linear representation of the characteristic algebra

Given a chord-generic horizontally displaceable Legendrian submanifold

Lagrangian isotopy of tori in {S^2\times S^2} and {{\mathbb{C}}P^2}

\Lambda\subset P\times \mathbb R

On homological rigidity and flexibility of exact Lagrangian endocobordisms

with the property that its characteristic algebra admits a finite-dimensional matrix representation, we prove an Arnold-type lower bound for the number of Reeb chords on

Nontriviality results for the characteristic algebra of a DGA

\Lambda

Legendrian ambient surgery and Legendrian contact homology

. This result is a generalization of the results of Ekholm-Etnyre-Sullivan and Ekholm-Etnyre-Sabloff which hold for Legendrian submanifolds whose Chekanov-Eliashberg algebras admit augmentations. We also provide examples of Legendrian submanifolds

FLOER HOMOLOGY AND LAGRANGIAN CONCORDANCE

\Lambda

Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors

of

The number of Hamiltonian fixed points on symplectically aspherical manifolds

\mathbb C^{n}\times \mathbb R

The stable Morse number as a lower bound for the number of Reeb chords

,

Refined disk potentials for immersed Lagrangian surfaces

n \ge 1