Calabi quasimorphisms for monotone coadjoint orbits
Symplectic Geometry
2015-11-03 v3
Abstract
We show the existence of Calabi quasimorphisms on the universal covering of the group of Hamiltonian diffeomorphisms of a monotone coadjoint orbit of a compact Lie group. We show that this result follows from positivity results of Gromov-Witten invariants and the fact that the quantum product of Schubert classes can never be zero.
Cite
@article{arxiv.1507.06511,
title = {Calabi quasimorphisms for monotone coadjoint orbits},
author = {Alexander Caviedes Castro},
journal= {arXiv preprint arXiv:1507.06511},
year = {2015}
}
Comments
The new version of this paper contains an upper bound for the Hofer-Zehnder capacity of coadjoint orbits of compact Lie groups. We showed that this upper bound is sharp for flag manifolds