arXiv:math/0209225 Abstract

arXiv:math/0209225 [math.GT]Abstract References Reviews Resources

Dwyer's filtration and topology of 4-manifolds

Published 2002-09-18, updated 2003-01-05Version 2

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.

Comments: minor changes; to appear in Math. Res. Lett

Categories: math.GT

Keywords: dwyers filtration, arbitrary fundamental group, free fundamental groups, canonical surgery problems, geometric proof

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