On the signature of biquotients

DOI10.1007/s00229-021-01344-0zbMath1503.57035arXiv2007.01092OpenAlexW3207062094MaRDI QIDQ2084283

Maximilian Schmitt, Oliver Goertsches

Publication date: 18 October 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01092

zbMATH Keywords

fixed pointcircle actionsignaturehomogeneous spaceorientationweightcompact Lie groupisotropy representationbiquotientequal rank

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Homology and homotopy of topological groups and related structures (57T99)

Cites Work

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• Elliptic genera, involutions, and homogeneous spin manifolds
• On the signature of homogeneous spaces
• Cohomology of biquotients
• On the topology of double coset manifolds
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• Symplectic and Kähler structures on biquotients
• A GKM description of the equivariant cohomology ring of a homogeneous space
• Appendix to ``Elliptic genera, involutions, and homogeneous spin- manifolds by Friedrich Hirzebruch and Peter Slodowy
• The Signature of Fiber Bundles

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