Dwyer's filtration and topology of 4-manifolds

Details Dwyer's filtration and topology of 4-manifolds Dwyer's filtration and topology of 4-manifolds

2002-09-18

arxiv.org/abs/math/0209225v2

Mathematics

Geometric Topology

minor changes; to appear in Math. Res. Lett

Scientific paper

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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