Equivalence of different definitions of higher $\rho$ invariants https://arxiv.org/abs/2411.16716 #mathAT #mathOA
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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