论文标题
准态延伸到磁盘的符号呈现组
Extensions of quasi-morphisms to the symplectomorphism group of the disk
论文作者
论文摘要
在$ \ rm {symp}（d，\ partial d）的磁盘的符号形态$上，这是边界附近的身份，存在称为ruelle不变性和gambaudo-ghys quasi-quasi morphismmorphisms的同质准态性。在本文中，我们表明，上述均质的准型术扩展到整个组上的均质准杂种$ \ rm {symp}（d）$ symplytormorpormists的$。作为推论，我们证明了第二个有限的共同体$ h_b^2（\ rm {symp}（d））$是无限维的。
On the group $\rm{Symp}(D, \partial D)$ of symplectomorphisms of the disk which are the identity near the boundary, there are homogeneous quasi-morphisms called the Ruelle invariant and Gambaudo-Ghys quasi-morphisms. In this paper, we show that the above homogeneous quasi-morphisms extend to homogeneous quasi-morphisms on the whole group $\rm{Symp}(D)$ of symplectomorphisms of the disk. As a corollary, we show that the second bounded cohomology $H_b^2(\rm{Symp}(D))$ is infinite-dimensional.
