Stefano Spessato

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20212025

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math.DG2022

Uniform homotopy invariance of Roe Index of the signature operator

Stefano Spessato

In this paper we study the Roe index of the signature operator of manifolds of bounded geometry. Our main result is the proof of the uniform homotopy invariance of this index. In o…

math.DG2021

Lipschitz-homotopy invariants: $L^{2}$ -cohomology, Roe index and $ρ$ -class

Stefano Spessato

In this thesis we talk about lipschitz-homotopy invariants for manifolds of bounded geometry. There are three main results: the first one is the definition of a controvariant funct…

Uniform homotopy invariance of Roe Index of the signature operator

Lipschitz-homotopy invariants:L2-cohomology, Roe index and ρ-class

Lipschitz-homotopy invariants: $L^{2}$ -cohomology, Roe index and $ρ$ -class