Dwyer's filtration and topology of 4-manifolds

Vyacheslav Krushkal

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arXiv · math/0209225

Dwyer's filtration and topology of 4-manifolds

Vyacheslav Krushkal

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Abstract

Topological 4-dimensional surgery is conjectured to fail, in general, for free fundamental groups. M. Freedman and P. Teichner have shown that surgery problems with an arbitrary fundamental group have a solution, provided they satisfy a certain condition on Dwyer's filtration on second homology. We give a new geometric proof of this result, and analyze its relation to the canonical surgery problems.

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Vyacheslav Krushkal. 2003-01-05. Dwyer's filtration and topology of 4-manifolds. https://arxiv.org/abs/math/0209225

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