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Embedding obstructions and 4-dimensional thickenings of 2-complexes

Vyacheslav S. Krushkal
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Abstract

The vanishing of Van Kampen's obstruction is known to be necessary and sufficient for embeddability of a simplicial n-complex into $R^{2n}$ for $n\neq 2$, and it was recently shown to be incomplete for $n=2$. We use algebraic-topological invariants of four-manifolds with boundary to introduce a sequence of higher embedding obstructions for a class of 2-complexes in $R^4$.

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BibTeXRIS

Vyacheslav S. Krushkal. 2000-04-10. Embedding obstructions and 4-dimensional thickenings of 2-complexes. https://arxiv.org/abs/math/0004058

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