论文标题

简单地连接的4个manifolds的映射类组与边界

Mapping class groups of simply connected 4-manifolds with boundary

论文作者

Orson, Patrick, Powell, Mark

论文摘要

我们计算每个紧凑型,简单连接的拓扑4 manifold的拓扑映射类组。以前仅在封闭情况下才知道。如果4个manifold平滑,我们将推断出稳定的平滑映射类组的类似描述,从而扩展了Saeki的工作。

We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is smooth, we deduce an analogous description of the stable smooth mapping class group, extending work of Saeki.

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