Embedding surfaces in 4-manifolds

Daniel Kasprowski,Mark Powell, Arunima Ray,Peter Teichner

arxiv（2023）

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摘要

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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