Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves

Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G). In this article,we compute the fundamental group and Pi...

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Autores principales:	Chakraborty Sujoy, Paul Arjun
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2018
Materias:	moduli space principal higgs bundle fundamental group and picard group 14d23 14d20 14h30 14c22 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1ead4834d6cc4d50823712d808a1aacc
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spelling	oai:doaj.org-article:1ead4834d6cc4d50823712d808a1aacc2021-12-02T17:14:47ZPicard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves2300-744310.1515/coma-2018-0009https://doaj.org/article/1ead4834d6cc4d50823712d808a1aacc2018-07-01T00:00:00Zhttps://doi.org/10.1515/coma-2018-0009https://doaj.org/toc/2300-7443Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G). In this article,we compute the fundamental group and Picard group ofChakraborty SujoyPaul ArjunDe Gruyterarticlemoduli spaceprincipal higgs bundlefundamental group and picard group14d2314d2014h3014c22MathematicsQA1-939ENComplex Manifolds, Vol 5, Iss 1, Pp 146-149 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	moduli space principal higgs bundle fundamental group and picard group 14d23 14d20 14h30 14c22 Mathematics QA1-939
spellingShingle	moduli space principal higgs bundle fundamental group and picard group 14d23 14d20 14h30 14c22 Mathematics QA1-939 Chakraborty Sujoy Paul Arjun Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
description	Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G). In this article,we compute the fundamental group and Picard group of
format	article
author	Chakraborty Sujoy Paul Arjun
author_facet	Chakraborty Sujoy Paul Arjun
author_sort	Chakraborty Sujoy
title	Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
title_short	Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
title_full	Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
title_fullStr	Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
title_full_unstemmed	Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
title_sort	picard group and fundamental group of the moduli of higgs bundles on curves
publisher	De Gruyter
publishDate	2018
url	https://doaj.org/article/1ead4834d6cc4d50823712d808a1aacc
work_keys_str_mv	AT chakrabortysujoy picardgroupandfundamentalgroupofthemoduliofhiggsbundlesoncurves AT paularjun picardgroupandfundamentalgroupofthemoduliofhiggsbundlesoncurves
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Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves

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