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Asymptotic spectral flow for Dirac operators

2006/12/05 by Clifford Henry Taubes, Taubes, Clifford Henry
Computer Science · Mathematics · #58J28 #58J30 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Symplectic Geometry (math.SG) #advanced mathematical theories #math.DG #math.SG #msc:58J28 #msc:58J30

paper · pdf · doi:10.48550/arxiv.math/0612126

arxiv created 2006/12/05 · openalex publication_date 2006/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A formula is given in terms of secondary characteristic classes for the leading order contribution to the spectral flow for a path of twisted Dirac operators on an odd dimensional, Riemannian manifold when the twisting is done by a path of unitary connections with large curvature.

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