通过紧化裂解算子修补的 Umkehr 映射
代数拓扑
2014-12-10 v3
摘要
通过裂解算子的紧化，我们描述了从球面到紧致定向流形的映射空间上的两种作用。来自紧化版本裂解算子的映射提供了沿底层底流形提升至映射空间的相交理论版本。另一种作用映射仅适用于未紧化的裂解算子，并给出了高维弦拓扑的同伦理论版本。
引用
@article{arxiv.1206.5842,
title = {Umkehr Maps Patched via the Compactified Cleavage Operad},
author = {Tarje Bargheer},
journal= {arXiv preprint arXiv:1206.5842},
year = {2014}
}
备注
This paper is under revision since there is a mistake not taking twistings into account. An upcoming paper with a different scope solves this problem in a geometric fashion. The statements on the compactifications in this paper will be reformulated accordingly