On boundedness of characteristic class via quasi-morphism

Autor:	Kawasaki, Morimichi, Maruyama, Shuhei
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry Mathematics - Group Theory Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	In this paper, we characterize the second bounded characteristic classes of foliated bundles in terms of the non-descendible quasi-morphisms on the universal covering of the structure group. As its application, we study the boundedness of obstruction classes for (contact) Hamiltonian fibrations and show the non-existence of foliated structures on some Hamiltonian fibrations. Moreover, for any closed symplectic manifold, we show the non-triviality of the second bounded cohomology group of the Hamiltonian diffeomorphism group. Comment: 21 pages, no figures. Major revision : Corollary 2.2 added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.10612 Zobrazit plný text záznamu View this record from Arxiv