论文标题
复杂和Quaternionic投影空间上的弦拓扑结构
The string topology coproduct on complex and quaternionic projective space
论文作者
论文摘要
在紧凑型对称空间的自由环空间上,Ziller引入了显式周期,生成了自由环空间的同源性。我们使用这些明确的周期来计算复杂和四离子投影空间上的弦拓扑共同体。然后,这些空间的Goresky-Hhingston产品的行为直接遵循。
On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space. The behavior of the Goresky-Hingston product for these spaces then follows directly.