Hamiltonian circle actions with minimal isolated fixed points

DOI10.1007/s00209-023-03288-5zbMath1520.53062arXiv1407.1948OpenAlexW2948418020MaRDI QIDQ6156081

Hui Li

Publication date: 12 June 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1948

zbMATH Keywords

Chern classesequivariant cohomologysymplectic manifoldHamiltonian circle action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Symplectic manifolds (general theory) (53D05) Characteristic classes and numbers in differential topology (57R20) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Homology with local coefficients, equivariant cohomology (55N25)

Cites Work

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• New tools for classifying Hamiltonian circle actions with isolated fixed points
• The cohomology rings of symplectic quotients
• Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets
• Characterizations of complex projective spaces and hyperquadrics
• HAMILTONIAN CIRCLE ACTIONS WITH MINIMAL FIXED SETS
• Certain Circle Actions on Kähler Manifolds
• One-connectivity and finiteness of HamiltonianS¹-manifolds with minimal fixed sets
• On a symplectic generalization of Petrie’s conjecture
• Some 6-dimensional HamiltonianS¹-manifolds
• 𝜋₁ of Hamiltonian 𝑆¹ manifolds
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics

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