正标量曲率度量空间的路径分量不变量
微分几何
2018-04-10 v3
摘要
Kreck-Stolz -不变量是正标量曲率度量空间及其模空间的一个经典路径分量不变量。它是一个绝对（而非相对）不变量，但这种优势的代价是仅在严格的拓扑条件下才有定义。本文的目的是为某些 -不变量未定义的乘积流形构造一个类似的不变量。
引用
@article{arxiv.1608.03547,
title = {Path-component invariants for spaces of positive scalar curvature metrics},
author = {David J. Wraith},
journal= {arXiv preprint arXiv:1608.03547},
year = {2018}
}
备注
Compared to the previous version of this paper, the proofs of Corollary 2.15 and Theorem 0.3 have been expanded to include more detail, greater attention is given to the role of orientation around 2.16, and some minor typos have been fixed