spin$^c$ 6-流形的拓扑周期-指数猜想
代数拓扑
2020-07-29 v3
摘要
拓扑周期-指数猜想是一个将空间的上同调Brauer群中元素的周期与指数联系起来的假设。它被Antieau和Williams识别为函数域周期-指数猜想的拓扑类比。在本文中，我们证明拓扑周期-指数猜想对spin 6-流形成立，并且一般是紧的。我们还证明它对一般6-流形不成立。
引用
@article{arxiv.1802.01296,
title = {The Topological Period-Index Conjecture for spin$^c$ 6-manifolds},
author = {Diarmuid Crowley and Mark Grant},
journal= {arXiv preprint arXiv:1802.01296},
year = {2020}
}
备注
v2, 14 pages. Significant improvements were made in the exposition, following comments from an anonymous referee. The main results and the essence of their proofs remain unchanged. v3: Corrected one reference