Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
type: Item
instance of: scholarly article
title: Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
zbMATH Open document ID: 0913.58055
published in: Geometric and Functional Analysis. GAFA
publication date: 1999-05-26T00:00:00Z
review text: The paper contains proofs of the results announced by the authors [\textit{E. Leichtnam} and \textit{P. Piazza}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, 399-404 (1997; Zbl 0896.58061)]. It has to be seen in connection with their first paper [Mem. Soc. Math. Fr., Nouv. Ser. 68, 123 p. (1997)]. In the present paper, the authors treat again the higher \(\Gamma\)-Atiyah-Patodi-Singer index theorem for Dirac operators on Galois coverings with boundary conditions given by spectral sections. Now the additional assumption of the previous paper that the boundary operator has a spectral gap near zero is removed.
Mathematics Subject Classification ID: 58J22
Mathematics Subject Classification ID: 58J32
zbMATH DE Number: 1123724
zbMATH Keywords: higher index theory
zbMATH Keywords: Atiyah-Patodi-Singer index theorem
zbMATH Keywords: Dirac operator
zbMATH Keywords: Galois covering
author: Eric Leichtnam
author: Paolo Piazza
MaRDI profile type: Publication
full work available at URL: s000390050047
OpenAlex ID: W2159936881
DOI: 10.1007/S000390050047
description: scientific article; zbMATH DE number 1123724