Lifting semifree actions
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- by R. Lashof PDF
- Proc. Amer. Math. Soc. 80 (1980), 167-171 Request permission
Abstract:
Necessary and sufficient conditions on the structure of a bundle are given, for lifting a semifree compact Lie group acting on the base to the total space.References
- Edward Bierstone, The equivariant covering homotopy property for differentiable $G$-fibre bundles, J. Differential Geometry 8 (1973), 615–622. MR 341509 R. Lashof, Obstructions to equivariance and lifting actions in bundles, Univ. of Virginia, mimeographed notes, 1977. —, Obstructions to equivariance, Topology Conference, Aarhus, 1978.
- R. Lashof and M. Rothenberg, $G$-smoothing theory, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 211–266. MR 520506
- Czes Kosniowski, Equivariant cohomology and stable cohomotopy, Math. Ann. 210 (1974), 83–104. MR 413081, DOI 10.1007/BF01360033
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 167-171
- MSC: Primary 57S10; Secondary 55R10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0574529-7
- MathSciNet review: 574529