Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems
type: Item
instance of: scholarly article
title: Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems
zbMATH Open document ID: 0683.58044
DOI: 10.1007/BF01218620
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: There are calculated homotopy groups of the space of generalized Atiyah- Patodi-Singer elliptic boundary conditions for a fixed elliptic first- order differential operator A and of the space of all such conditions providing the formal self-adjointness of A. In particular it is shown that the spectral flow of an \({\mathbb{S}}^ 1\) family of self-adjoint elliptic boundary conditions is well defined and the spectral estimate for a Dirac operator is derived.
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 35J99
zbMATH DE Number: 4119305
zbMATH Keywords: homotopy groups
zbMATH Keywords: Atiyah-Patodi-Singer elliptic boundary conditions
zbMATH Keywords: Dirac operator
author: Bernhelm Booß-Bavnbek
author: Krzysztof P. Wojciechowski
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01218620
OpenAlex ID: W2027077548
description: scientific article; zbMATH DE number 4119305