Embedding obstructions and 4-dimensional thickenings of 2-complexes

Vyacheslav S. Krushkal

Embedding obstructions and 4-dimensional thickenings of 2-complexes

几何拓扑 2007-05-23 v1 代数拓扑

作者: Vyacheslav S. Krushkal

摘要

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 $R^4$ .

关键词

smooth 4-manifolds metric embeddings seiberg-witten invariants

引用

@article{arxiv.math/0004058,
  title  = {Embedding obstructions and 4-dimensional thickenings of 2-complexes},
  author = {Vyacheslav S. Krushkal},
  journal= {arXiv preprint arXiv:math/0004058},
  year   = {2007}
}

备注

10 pages; To appear in Proc. Amer. Math. Soc

Embedding obstructions and 4-dimensional thickenings of 2-complexes

摘要

关键词

引用

备注

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