CIRCLE ACTION AND SOME VANISHING RESULTS ON MANIFOLDS

DOI10.1142/S0129167X11007380zbMath1251.57019arXiv1012.1507OpenAlexW2089758164MaRDI QIDQ3107924

Ping Li, Ke Feng Liu

Publication date: 28 December 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1507

zbMATH Keywords

circle actionsignaturerigiditytwisted signature operator

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Obstructions to group actions ((K)-theoretic aspects) (19J35) Compact groups of homeomorphisms (57S10)

Related Items (3)

Circle action with prescribed number of fixed points ⋮ New tools for classifying Hamiltonian circle actions with isolated fixed points ⋮ Torus actions of generalized odd type on oriented manifolds

Cites Work

• Unnamed Item
• Circle actions on spin manifolds and characteristic numbers
• Supersymmetry and Morse theory
• \(S^ 1\)-actions and elliptic genera
• On modular invariance and rigidity theorems
• On elliptic genera and theta-functions
• The index of elliptic operators. III
• On the index of a semi-free \(S^ 1\)-action
• Smooth \(S^1\)-action and bordism
• On the rigidity theorem for elliptic genera
• Topological obstructions to certain Lie group actions on manifolds
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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