https://neckpinch.com/authors/sebastian-boldt/New arXiv papers by Sebastian Boldt, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2003.10204/arxiv:2003.10204Mon, 23 Mar 2020 00:00:00 GMTSebastian Boldt, Batu Güneysu — Given a noncompact spin manifold M with a fixed topological spin structure and two complete Riemannian metrics g and h on M with bounded sectional curvatures, we prove a criterion for the existence and completeness of the wave operators 𝓦_(±)(Dₕ, D_g, I_(g,h)) and 𝓦_(±)(Dₕ², D²_g, I_(g,h)), where I_(g,h) is the canonically given unitary map between the underlying L²-spaces of spinors. This criterion does not involve any injectivity radius assumptions and leads to a criterion for the stability of the absolutely continuous spectrum of a Dirac operator and its square under a Ricci flow.Ricci flowStability & uniquenessBoundaries & non-compactEigenvalues & spectrum