Stable classification of 4-manifolds obtained by the surgery on loops
Geometric Topology
2013-04-25 v3
Abstract
This paper is concerned with the problem of stable diffeomorphism classification of 4-manifolds obtained using the surgery on loops. The main theorem states that under the assumption that the normal 1-type of two 4-manifolds in question is the same, the only classifying invariant is the signature. In particular, in some cases, any two closed smooth 4-manifolds with a given fundamental group, obtained by the standard construction, are stably diffeomorphic.
Keywords
Cite
@article{arxiv.1209.0644,
title = {Stable classification of 4-manifolds obtained by the surgery on loops},
author = {Wojciech Politarczyk},
journal= {arXiv preprint arXiv:1209.0644},
year = {2013}
}
Comments
This paper was withdrawn by the author, since big parts of it are included in the paper arXiv:1303.6502