Torus actions on homotopy complex projective spaces

DOI10.1007/BF01404062zbMath0262.57021OpenAlexW2037524421MaRDI QIDQ5921603

Ted Petrie

Publication date: 1973

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142210

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15)

Related Items (15)

Torus Actions on Cohomological Complex Projective Spaces ⋮ An invitation to circle actions ⋮ On equivariant homotopy equivalences ⋮ Torus actions on manifolds of positive sectional curvature. ⋮ On a generalized Petrie's conjecture via index theorems ⋮ Rigid cyclic group actions on cohomology complex projective spaces ⋮ New tools for classifying Hamiltonian circle actions with isolated fixed points ⋮ On a symplectic generalization of Petrie’s conjecture ⋮ Some remarks on the uniqueness of the complex projective spaces ⋮ \(\text{Spin}^c\)-structures and \(S^1\)-actions ⋮ Real algebraic actions on projective spaces - a survey ⋮ Torus manifolds and non-negative curvature ⋮ Unitary toric manifolds, multi-fans and equivariant index ⋮ Invariance of Pontrjagin classes for Bott manifolds ⋮ Homotopy complex projective spaces with \(Pin\)(2)-action

Cites Work

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• The index of elliptic operators. II
• The index of elliptic operators. III
• Equivariant \(K\)-theory and completion
• Exotic \(S^1\) actions on \(CP^3\) and related topics
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics

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