论文标题
映射$ h $ -cobordant歧管的班级组
Mapping class groups of $h$-cobordant manifolds
论文作者
论文摘要
我们证明，通过展示$ h $ h $ cobordant的歧管，其映射级别的类别具有不同的基础性，映射类组并不是高维流形的$ h $ bobordism。为此，我们引入了“ $ h $ block”捆绑的模量空间，并了解其与普通块束的模量空间的差异。
We prove that the mapping class group is not an $h$-cobordism invariant of high-dimensional manifolds by exhibiting $h$-cobordant manifolds whose mapping class groups have different cardinalities. In order to do so, we introduce a moduli space of "$h$-block" bundles and understand its difference with the moduli space of ordinary block bundles.
