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 …

We consider two natural Lagrangian intersection problems in the context of symplectic toric
manifolds: displaceability of torus orbits and of a torus orbit with the real part of the toric …

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 © …

The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result
upgrades the known bound by a factor of two and yields a simple formula for the spectral …

We prove that symplectic quasi-states and quasi-morphisms on a symplectic manifold
descend under symplectic reduction on a superheavy level set of a Hamiltonian torus action …

We obtain estimates showing that on monotone symplectic manifolds (asymptotic) spectral
invariants of Hamiltonians which vanish on a non-empty open set, U, descend from to Hamc …

The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic
submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian …

We establish a comparison between spectral invariants for a symplectic manifold and a
Donaldson divisor therein, and answer a question of Borman from 2012 on the reduction of …

This paper combines new and known results in a single convenient source for anyone
interested in learning about quasi-linear functionals on locally compact spaces. We define …