论文标题

将表面嵌入4个manifolds

Embedding surfaces in 4-manifolds

论文作者

Kasprowski, Daniel, Powell, Mark, Ray, Arunima, Teichner, Peter

论文摘要

我们证明了在存在双球体下具有良好基本组的4个manifolds的表面定理,对正常束没有限制。新的障碍物是表面表面的kervaire-milnor不变性,我们为其计算提供了组合公式。为此,我们介绍了频带特征表面的概念。

We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is a Kervaire-Milnor invariant for surfaces and we give a combinatorial formula for its computation. For this we introduce the notion of band characteristic surfaces.

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