G-actions and the fundamental group

DOI10.1007/BF01396626zbMath0519.57034OpenAlexW2028187159WikidataQ110904820 ScholiaQ110904820MaRDI QIDQ1054330

Wu-Chung Hsiang, William Browder

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/142857

zbMATH Keywords

equivariant transversality(A-hat)-genus for spin manifoldsactions of compact connected Lie groupsinduced map on the fundamental groupmanifolds without circle actions

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Fundamental group, presentations, free differential calculus (57M05) Algebraic topology of manifolds (57N65) Stratifications in topological manifolds (57N80)

Related Items (10)

Higher $G$-indices and applications ⋮ Discrete circle actions: A note using non-standard analysis ⋮ Rigidity of higher elliptic genera ⋮ Non-compact Einstein manifolds with symmetry ⋮ On mod 2 and higher elliptic genera ⋮ Symmetry of manifolds and their lower homotopy groups ⋮ Higher \(\hat A\)-genera on certain non-spin \(S^{1}\)-manifolds ⋮ Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group ⋮ Manifolds on Which Only Tori Can Act ⋮ Topological obstructions to certain Lie group actions on manifolds

Cites Work

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• Compact group actions and the topology of manifolds with non-positive curvature
• A splitting theorem for manifolds
• Remarks on the group of isometries of a Riemannian manifold
• On the semisimple degree of symmetry
• Group Actions on A k -Manifolds
• Characteristic Spheres of Free Differentiable Actions of S 1 and S 3 on Homotopy Spheres

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