高维长纽结的广义Bott-Cattaneo-Rossi不变量
几何拓扑
2020-09-11 v3
摘要
Bott、Cattaneo与Rossi将长纽结 的不变量定义为构型空间积分的组合，其中 为大于等于3的奇数。本文给出这些不变量的更灵活定义。我们的定义允许将这些不变量解释为图的计数。它推广到更一般的 流形（称为渐近同调 ）中的长纽结，并提供这些纽结的不变量。
引用
@article{arxiv.1907.01712,
title = {Generalized Bott-Cattaneo-Rossi invariants of high-dimensional long knots},
author = {David Leturcq},
journal= {arXiv preprint arXiv:1907.01712},
year = {2020}
}
备注
47 pages; updated after referee process; extension of BCR invariants to non-parallelizable spaces; simplest version of the proof of the additivity under connected sum ; the bibliography and the introduction have been updated with references to an upcoming version of arXiv:2003.01007, and an upcoming article about the 1-dimensional case