Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families
type: Item
instance of: scholarly article
title: Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families
zbMATH Open document ID: 1318.19008
DOI: 10.1134/S1061920815010100
author: Victor Nistor
author: E. V. Troitskij
published in: Russian Journal of Mathematical Physics
publication date: 2015-07-10T00:00:00Z
review text: This paper formulates and proves an Atiyah-Singer-type index theorem for gauge-equivariant \(K\)-theory. Specifically, for \(G\) a compact Lie group, the authors establish a coincidence of the analytic and topological indices of a family of gauge-invariant elliptic differential operators on a principal \(G\)-bundle.
reviewed by: Peter Crooks
Mathematics Subject Classification ID: 19L47
Mathematics Subject Classification ID: 58J20
zbMATH DE Number: 6457395
zbMATH Keywords: gauge-equivariant \(K\)-theory
zbMATH Keywords: topological index
zbMATH Keywords: analytic index
MaRDI profile type: Publication
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full work available at URL: s1061920815010100
OpenAlex ID: W2032963353
description: scientific article