迈向对结构环谱的分歧扩张的理解
代数拓扑
2020-08-12 v3
摘要
我们提出将拓扑Hochschild同调作为测量结构环谱映射的分歧的工具。我们确定了-局部整数的二阶拓扑Hochschild同调。对于从连通Adams分量到-局部复拓扑K理论的映射的弱分歧扩张，我们确定了相对拓扑Hochschild同调，并证明它探测了该扩张的弱分歧。我们还确定了从连通实拓扑K理论到复拓扑K理论的复化映射以及一些具有交换商的商映射的相对拓扑Hochschild同调。
引用
@article{arxiv.1604.05857,
title = {Towards an understanding of ramified extensions of structured ring spectra},
author = {Bjørn Ian Dundas and Ayelet Lindenstrauss and Birgit Richter},
journal= {arXiv preprint arXiv:1604.05857},
year = {2020}
}
备注
Unfortunately, the published version of this paper contains a mistake. We are grateful to Eva H\"oning who noticed the error. An erratum is about to be published. In this version we correct the mistake and state Lemma 5.1 and Theorem 5.2 in their corrected form