The rigidity of Dolbeault-type operators and symplectic circle actions

DOI10.1090/S0002-9939-2011-11067-0zbMath1316.37010arXiv1007.4665OpenAlexW3106465420MaRDI QIDQ2884419

Ping Li

Publication date: 29 May 2012

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

Full work available at URL: https://arxiv.org/abs/1007.4665

zbMATH Keywords

rigiditysymplectic circle actionHamiltonian circle actiondolbeault-type operator

Mathematics Subject Classification ID

Related Items (13)

On the Chern numbers and the Hilbert polynomial of an almost complex manifold with a circle action ⋮ Circle actions on almost complex manifolds with isolated fixed points ⋮ Unnamed Item ⋮ Circle actions on 8-dimensional almost complex manifolds with 4 fixed points ⋮ Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets ⋮ New tools for classifying Hamiltonian circle actions with isolated fixed points ⋮ Non-Hamiltonian actions with isolated fixed points ⋮ The Hirzebruch χy-genus and Poincaré polynomial revisited ⋮ Eigenvalues of vector fields, Bott's residue formula and integral invariants ⋮ Factorisation of 3d \(\mathcal{N} = 4\) twisted indices and the geometry of vortex moduli space ⋮ Circle actions on oriented manifolds with discrete fixed point sets and classification in dimension 4 ⋮ Circle actions on almost complex manifolds with 4 fixed points ⋮ Superconformal quantum mechanics on Kähler cones

Cites Work

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• Fixed points and torsion on Kähler manifolds
• The moment map for circle actions on symplectic manifolds
• On semifree symplectic circle actions with isolated fixed points
• Holomorphic vector fields with simple isolated zeros
• On certain symplectic circle actions
• The index of elliptic operators. III
• Smooth \(S^1\)-action and bordism
• Fixed points of symplectic periodic flows
• On the Rigidity Theorems of Witten
• Unitary bordism of circle actions
• Hirzebruch genus of a manifold supporting a Hamiltonian circle action
• Applications of the Holomorphic Lefschetz Formula

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