论文标题
关于特征类的界限通过准态度
On boundedness of characteristic class via quasi-morphism
论文作者
论文摘要
在本文中，我们根据结构组的通用覆盖率，表征了叶面束的第二界特征类别类别。随着其应用，我们研究了（接触）哈密顿纤维的阻塞类别的界限，并显示了一些哈密顿纤维纤维上叶状结构的不存在。此外，对于任何封闭的符号歧管，我们显示了汉密尔顿二型二型二界同胞组的非平凡性。
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.
