In this paper we first develop various enhancements of the theory of spectral invariants of
Hamiltonian Floer homology and of Entov-Polterovich theory of spectral symplectic quasi …

This is a survey about certain" almost homomorphisms" and" almost linear" functionals
(called quasi-morphisms and quasi-states) in symplectic topology and their applications to …

Givental's non-linear Maslov index, constructed in 1990, is a quasimorphism on the
universal cover of the identity component of the contactomorphism group of real projective …

We find a non-displaceable Lagrangian torus fiber in a semi-toric system which is
superheavy with respect to a certain symplectic quasi-state. The proof employs both 4 …

We build homogeneous quasimorphisms on the universal cover of the contactomorphism
group for certain prequantizations of monotone symplectic toric manifolds. This is done …

Homogeneous quasimorphisms, C0-topology and Lagrangian intersection Page 1 Comment.
Math. Helv. 97 (2022), 209–254 DOI 10.4171/CMH/530 Commentarii Mathematici Helvetici © …

In this paper we first develop various enhancements of the theory of spectral invariants of
Hamiltonian Floer homology and of Entovi-Polterovich theory of spectral symplectic quasi …

In this paper we introduce a new way of displacing Lagrangian fibers in toric symplectic
manifolds, a generalization of McDuff's original method of probes. Extended probes are …

Abstract Following Frauenfelder (Rabinowitz action functional on very negative line bundles,
Habilitationsschrift, Munich/München, 2008), Albers and Frauenfelder (Bubbles and onis …

We introduce a new version of Floer theory of a non-monotone Lagrangian submanifold
which only uses least area holomorphic disks with boundary on it. We use this theory to …