Enhanced Hantzsche Theorem

Michael H. Freedman

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arXiv · 2409.09983

Enhanced Hantzsche Theorem

Michael H. Freedman

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Abstract

A closed 3-manifold $M$ may be described up to some indeterminacy by a Heegaard diagram $\mathcal{D}$. The question "Does $M$ smoothly embed in $\mathbb{R}^4$?'' is equivalent to a property of $\mathcal{D}$ which we call $\textit{doubly unlinked}$ (DU). This perspective leads to an enhancement of Hantzsche's embedding obstruction.

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Michael H. Freedman. 2024-09-16. Enhanced Hantzsche Theorem. https://arxiv.org/abs/2409.09983

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