Topological invariance of the Witten index
type: Item
instance of: scholarly article
title: Topological invariance of the Witten index
zbMATH Open document ID: 0649.47012
DOI: 10.1016/0022-1236(88)90031-6
published in: Journal of Functional Analysis
publication date: 1988-01-01T00:00:00Z
review text: The index of an operator A is defined by \(ind(A)=\dim (Ker(A))-\dim (Ker(A\) *)). The Witten index is defined by \[ ind_ t(A)=tr(e^{- tA\quad *A}-e^{-tAA\quad *}). \] It is known that \(ind(A+C)=ind(A)\), if C is compact. It is proved that \[ ind_ t(A+C)=ind_ t(A) \] for a large class of C.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 4060149
zbMATH Keywords: Witten index
author: Fritz Gesztesy
author: B. Simon
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
full work available at URL: 0022-1236(88)90031-6
OpenAlex ID: W2086341126
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description: scientific article; zbMATH DE number 4060149