𝜋₁ of Hamiltonian 𝑆¹ manifolds

DOI10.1090/S0002-9939-03-06881-3zbMath1066.53127arXivmath/0203075MaRDI QIDQ4417262

Hui Li

Publication date: 28 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0203075

zbMATH Keywords

Morse theorycircle actionsymplectic manifoldsymplectic quotient

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)

Related Items (14)

On the Chern numbers and the Hilbert polynomial of an almost complex manifold with a circle action ⋮ Relative flux homomorphism in symplectic geometry ⋮ Spherical contact toric manifolds ⋮ One-connectivity and finiteness of HamiltonianS¹-manifolds with minimal fixed sets ⋮ 12, 24 and beyond ⋮ Hamiltonian circle actions with minimal isolated fixed points ⋮ Symplectic and Kähler structures on \(\mathbb{C}P^1\)-bundles over \(\mathbb{C}P^2\) ⋮ On a symplectic generalization of Petrie’s conjecture ⋮ Hamiltonian \(S^1\)-spaces with large equivariant pseudo-index ⋮ Frankel’s theorem in the symplectic category ⋮ Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I ⋮ Hard Lefschetz property of symplectic structures on compact Kähler manifolds ⋮ THE FUNDAMENTAL GROUP OF G-MANIFOLDS ⋮ Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II

Cites Work

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• Examples of simply-connected symplectic non-Kählerian manifolds
• Stratified symplectic spaces and reduction
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• The geometric realizations of decompositions of 3-orbifold fundamental groups
• Birational equivalence in the symplectic category
• An improved rounding method and semidefinite programming relaxation for graph partition
• Nondegenerate critical manifolds
• Morse Theory. (AM-51)
• Convexity and Commuting Hamiltonians

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