Dwyer's filtration and topology of 4-manifolds
Geometric Topology
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0209225,
title = {Dwyer's filtration and topology of 4-manifolds},
author = {Vyacheslav Krushkal},
journal= {arXiv preprint arXiv:math/0209225},
year = {2007}
}
Comments
minor changes; to appear in Math. Res. Lett