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arxiv: 1706.06405 · v1 · pith:NXEEVBUTnew · submitted 2017-06-20 · 🧮 math.GT · math.DG

Solid angles and Seifert hypersurfaces

Maciej Borodzik , Supredee Dangskul , Andrew Ranicki This is my paper
classification 🧮 math.GT math.DG
keywords mathbbseifertsolidangleanglesclosedcolondimension
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Given a smooth closed oriented manifold $M$ of dimension $n$ embedded in $\mathbb{R}^{n+2}$ we study properties of the `solid angle' function $\Phi\colon\mathbb{R}^{n+2}\setminus M\to S^1$. It turns out that a non-critical level set of $\Phi$ is an explicit Seifert hypersurface for $M$.

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