Cyclic group actions on gauge theory
type: Item
instance of: scholarly article
title: Cyclic group actions on gauge theory
zbMATH Open document ID: 0846.58051
DOI: 10.1016/0926-2245(96)00009-5
author: Yong Seung Cho
published in: Differential Geometry and its Applications
publication date: 1996-09-16T00:00:00Z
review text: Let \(p : E \to X\) be an \(SU(2)\)-bundle over a simply connected smooth closed 4-manifold \(X\) with Chern number \(k = nk'\). Let the cyclic group \(\mathbb{Z}_n\) act on \(X\) and the bundle \(p : E \to X\) such that \(p\) is a \(\mathbb{Z}_n\)-map. We compute the dimension of the moduli space of the anti-self-dual connections on the quotient bundle \(E' \to X'\). Relating the \(\mathbb{Z}_n\)-invariant moduli space and the equivariant Donaldson polynomial invariant on \(E \to X\), we study the Donaldson polynomial invariant on the quotient bundle \(E' \to X'\).
reviewed by: Yong Seung Cho
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 57N13
zbMATH DE Number: 897468
zbMATH Keywords: cyclic group action
zbMATH Keywords: Atiyah-Singer \(G\)-index theorem
zbMATH Keywords: moduli space
zbMATH Keywords: Donaldson polynomial invariant
Wikidata QID: Q115362512
MaRDI profile type: Publication
full work available at URL: 0926-2245(96)00009-5
OpenAlex ID: W1963807571
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description: scientific article; zbMATH DE number 897468