THE FUNDAMENTAL GROUP OF G-MANIFOLDS

DOI10.1142/S0219199712500563zbMath1285.53072arXiv0909.3179OpenAlexW1963848831MaRDI QIDQ2853986

Hui Li

Publication date: 17 October 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3179

zbMATH Keywords

fundamental groupmoment mapsymplectic manifoldsymplectic quotientHamiltonian group action

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Symplectic manifolds (general theory) (53D05) Momentum maps; symplectic reduction (53D20) Algebraic topology on manifolds and differential topology (57R19)

Cites Work

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• Convexity properties of the moment mapping
• Stratified symplectic spaces and reduction
• Non-Abelian convexity by symplectic cuts
• Convexity properties of the moment mapping. III
• The fundamental group of symplectic manifolds with Hamiltonian Lie group actions
• Convexity and Commuting Hamiltonians
• 𝜋₁ of Hamiltonian 𝑆¹ manifolds
• The Fundamental Group ofS¹-manifolds
• The Yang-Mills heat flow on the moduli space of framed bundles on a surface

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