The determinant bundle on the moduli space of stable triples over a curve
type: Item
instance of: scholarly article
title: The determinant bundle on the moduli space of stable triples over a curve
zbMATH Open document ID: 1016.32011
DOI: 10.1007/BF02829790
author: Indranil Biswas
author: Nyshadham Raghavendra
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-07-30T00:00:00Z
review text: Given a closed Riemann surface \(X\) there is the moduli space of triples \((E_{1},E_{2},\varphi)\), where \(E_{1}\) and \(E_{2}\) are holomorphic vector bundles over \(X\) and \(\varphi:E_{1} \to E_{2}\) is a holomorphic vector bundle homomorphism. The authors construct a holomorphic Hermitian line bundle over such moduli space and compute the curvature of the Chern connection, showing that this is a constant times the natural Kähler form on the moduli space.
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 32G13
Mathematics Subject Classification ID: 14H60
zbMATH DE Number: 1870280
zbMATH Keywords: moduli space
zbMATH Keywords: stable triples
zbMATH Keywords: determinant bundle
zbMATH Keywords: Quillen metric
reviewed by: Rubén A. Hidalgo
MaRDI profile type: Publication
cites work: Q4763643
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description: scientific article; zbMATH DE number 1870280