On a generalized Petrie's conjecture via index theorems

DOI10.1016/j.topol.2013.05.011zbMath1285.57012OpenAlexW1970674257WikidataQ122924790 ScholiaQ122924790MaRDI QIDQ390399

Jin Hong Kim

Publication date: 8 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.05.011

zbMATH Keywords

Riemann-Roch theoremAtiyah-Singer index theoremtorus manifoldhomotopy complex projective spacesPetrie's ConjecturePontrjagin classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Algebraic topology on manifolds and differential topology (57R19) Compact groups of homeomorphisms (57S10)

Cites Work

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• \(\text{Spin}^c\)-structures and \(S^1\)-actions
• \(S^ 1\)-actions on cohomology complex projective spaces with three components of the fixed point sets
• Unitary toric manifolds, multi-fans and equivariant index
• Homotopy complex projective spaces with \(Pin\)(2)-action
• Differentiable circle group actions on homotopy complex projective spaces
• Theory of multi-fans
• HAMILTONIAN CIRCLE ACTIONS WITH MINIMAL FIXED SETS
• On a symplectic generalization of Petrie’s conjecture
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics
• Smooth \(S^1\)-manifold in the homotopy type of \(CP^3\)
• Torus actions on homotopy complex projective spaces

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