39 citations · 126 across the 27 of their papers we have counts for
17 papers · 1 filter
On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus
Michael Brandenbursky, Jarek Kedra, Egor Shelukhin
We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide explicit examples of Hamiltonian diffeomorphisms…
Pseudoholomorphic tori in the Kodaira-Thurston manifold
Jonathan David Evans, Jarek Kędra
The Kodaira-Thurston manifold is a quotient of a nilpotent Lie group by a cocompact lattice. We compute the family Gromov-Witten invariants which count pseudoholomorphic tori in th…
A two-cocycle on the group of symplectic diffeomorphisms
Światosław R. Gal, Jarek Kędra
We investigate a two-cocycle on the group of symplectic diffeomorphisms of an exact symplectic manifolds defined by Ismagilov, Losik, and Michor and investigate its properties. We…
On the algebraic independence of Hamiltonian characteristic classes
Swiatoslaw Gal, Jarek Kedra, Aleksy Tralle
We prove that Hamiltonian characteristic classes defined as fibre integrals of powers of the coupling class are algebraically independent for generic coadjoint orbits.
On nondegenerate coupling forms
J. Kedra, A. Tralle, A. Woike
The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical i…
The Lalonde-McDuff conjecture and the fundamental group
Jarek Kedra
We give a simple proof of the Lalonde-McDuff conjecture for aspherical manifolds.