Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
type: Item
instance of: scholarly article
title: Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
zbMATH Open document ID: 0787.53022
author: Hiroshi Konno
published in: Journal of the Mathematical Society of Japan
publication date: 1993-12-20T00:00:00Z
review text: We define a parabolic Higgs bundle on a compact Riemann surface appropriately so that we can construct the moduli space of stable parabolic Higgs bundles as a hyperkähler quotient by the gauge group. To do this, we prove the existence of a Hermitian-Einstein metric on a stable parabolic Higgs bundle by solving a PDE.
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32Q20
zbMATH DE Number: 469060
zbMATH Keywords: parabolic Higgs bundle
zbMATH Keywords: moduli space
zbMATH Keywords: hyperkähler quotient
zbMATH Keywords: Hermitian- Einstein metric
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04520253
OpenAlex ID: W2007435338
Wikidata QID: Q126172116
DOI: 10.2969/JMSJ/04520253
description: scientific article; zbMATH DE number 469060