The linking pairings of orientable Seifert manifolds
Geometric Topology
2011-10-20 v2
Abstract
We compute the -primary components of the linking pairings of orientable 3-manifolds admitting a fixed-point free -action. Using this, we show that any non-singular linking pairing on a finite abelian group with homogeneous 2-primary summand is realized by such a manifold. However, some pairings on inhomogeneous 2-groups are not realizable by any Seifert fibred 3-manifold.
Keywords
Cite
@article{arxiv.1004.0034,
title = {The linking pairings of orientable Seifert manifolds},
author = {Jonathan A. Hillman},
journal= {arXiv preprint arXiv:1004.0034},
year = {2011}
}
Comments
The paper has been rewritten to display the results more clearly, and errors flowing from an inconsistent choice of signs have been corrected. The formulation of the final result on 2-torsion has also been improved