The vortex equation on affine manifolds

DOI10.1090/S0002-9947-2014-06152-7zbMath1301.53020arXiv1304.4727OpenAlexW2021157230MaRDI QIDQ5420143

Matthias Stemmler, Indranil Biswas, John C. Loftin

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4727

zbMATH Keywords

stabilitydimensional reductionaffine manifoldvortex equation

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (6)

Flat bundles on affine manifolds ⋮ Semi-stable holomorphic vector bundles over generalized Kähler manifolds ⋮ Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds ⋮ The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds ⋮ Analytically stable Higgs bundles on some non-Kähler manifolds ⋮ Higgs bundles over non-compact Gauduchon manifolds

Cites Work

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• Special metrics and stability for holomorphic bundles with global sections
• Affine Hermitian-Einstein metrics
• Invariant connections and vortices
• The symplectic vortex equations and invariants of Hamiltonian group actions
• Vortices in holomorphic line bundles over closed Kähler manifolds
• A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
• Flat Partial Connections and Holomorphic Structures in C ∞ Vector Bundles
• A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
• DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
• On the existence of hermitian-yang-mills connections in stable vector bundles

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