边界带有有理同调的 3-配边
几何拓扑
2007-05-23 v1
摘要
本文的目标是定义 3-配边范畴的一个子范畴，有理同调 3-球的不变量应当推广到该子范畴上。我们将拓扑量子场论（Atiyah 意义下）的概念针对这一情形具体化，并证明这些 TQFT 总是具有的两个有趣性质。在 LMO 不变量情形下，这些性质等价于说该 TQFT 是无反常的。
引用
@article{arxiv.math/0602097,
title = {3-cobordisms with their rational homology on the boundary},
author = {Dorin Cheptea and Thang T Q Le},
journal= {arXiv preprint arXiv:math/0602097},
year = {2007}
}
备注
16 pages, 7 figures. Observation: 90% of the content has been previously part of math.GT/0508220 version 1, which now has been replaced with version 2, where the respective part was removed (except a few statements which were left for reference). The results here are independent of that paper and can be used also in differnt context from that of GT/0508220