Equivalence of different definitions of higher $\rho$ invariants
Algebraic Topology
2024-11-27 v1 Operator Algebras
Abstract
For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds, there are mainly two different approaches to the higher invariant associated to this homotopy equivalence. In this article, we show that these two definitions of the higher invariant are equivalent.
Cite
@article{arxiv.2411.16716,
title = {Equivalence of different definitions of higher $\rho$ invariants},
author = {Hongzhi Liu and Zhizhang Xie and Guoliang Yu},
journal= {arXiv preprint arXiv:2411.16716},
year = {2024}
}
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28 pages