PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES

DOI10.1142/S0129167X02001617zbMath1059.14017arXivmath/0102016MaRDI QIDQ4807426

Ignasi Mundet i Riera

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102016

zbMATH Keywords

orbifoldKähler manifoldscorrespondenceparabolic weights

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20)

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Cites Work

• Equivalence classes of polarizations and moduli spaces of sheaves
• Logarithmic de Rham complexes and vanishing theorems
• Invariant connections and vortices
• Parabolic bundles as orbifold bundles
• Walls of Gieseker semistability and the Mumford-Thaddeus principle for moduli spaces of sheaves over higher dimensional bases
• $C^*$-actions.
• DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
• On the existence of hermitian-yang-mills connections in stable vector bundles