SYMPLECTIC STABILITY, ANALYTIC STABILITY IN NON-ALGEBRAIC COMPLEX GEOMETRY
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Publication:3043666
DOI10.1142/S0129167X04002223zbMath1089.53058arXivmath/0309230MaRDI QIDQ3043666
Publication date: 6 August 2004
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309230
geometric invariant theoryquotientsymplectic stabilityanalytic stabilityenergy completeKähler non-algebraic
Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20)
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On the complex structure of symplectic quotients ⋮ Stratification of singular hyperkähler quotients ⋮ Coupled equations for Kähler metrics and Yang-Mills connections ⋮ Optimal destabilizing vectors in some gauge theoretical moduli problems ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Stability, analytic stability for real reductive Lie groups ⋮ Dominant weight associated with actions of real reductive groups ⋮ Filtrations, weights and quiver problems ⋮ A quiver approach to studying orbit spaces of linear systems ⋮ Stability of measures on Kähler manifolds ⋮ A Hilbert–Mumford criterion for polystability in Kaehler geometry ⋮ The Kempf-Ness theorem and invariant theory for real reductive representations ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Instanton moduli spaces on non-Kählerian surfaces. Holomorphic models around the reduction loci ⋮ Ressayre’s pairs in the Kähler setting ⋮ Blowing up extremal Kähler manifolds. II
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