可定向Seifert流形的配对配对
几何拓扑
2011-10-20 v2
摘要
我们计算了允许无不动点S^1作用的可定向3流形的配对配对的p-主分量。利用此结果，我们证明，有限阿贝尔群上具有齐次2-主分量的任何非奇异配对配对都可以由这样的流形实现。然而，非齐次2-群上的某些配对配对无法由任何Seifert纤维化3流形实现。
引用
@article{arxiv.1004.0034,
title = {The linking pairings of orientable Seifert manifolds},
author = {Jonathan A. Hillman},
journal= {arXiv preprint arXiv:1004.0034},
year = {2011}
}
备注
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