Equivalence of different definitions of higher ρ invariants

2024/11/22 by Liu, Hongzhi, Xie, Zhizhang, Yu, Guoliang
#Algebraic Topology (math.AT) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2411.16716

Abstract

For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds, there are mainly two different approaches to the higher ρ invariant associated to this homotopy equivalence. In this article, we show that these two definitions of the higher ρ invariant are equivalent.

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