Torus actions on cohomological complex projective spaces
HTML articles powered by AMS MathViewer
- by Kai Wang
- Proc. Amer. Math. Soc. 65 (1977), 355-356
- DOI: https://doi.org/10.1090/S0002-9939-1977-0461543-5
- PDF | Request permission
Abstract:
In this note, we will compute the Pontrjagin classes of those topological manifolds which have the same rational cohomology algebra as $C{P^n}$ and which admit effective topological ${T^n}$ actions.References
- F. Hirzebruch, Topological methods in algebraic geometry, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 131, Springer-Verlag New York, Inc., New York, 1966. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borel. MR 0202713
- Wu-yi Hsiang, Cohomology theory of topological transformation groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 85, Springer-Verlag, New York-Heidelberg, 1975. MR 0423384
- Ted Petrie, Torus actions on homotopy complex projective spaces, Invent. Math. 20 (1973), 139–146. MR 322893, DOI 10.1007/BF01404062
- James A. Schafer, Topological Pontrjagin classes, Comment. Math. Helv. 45 (1970), 315–332. MR 275443, DOI 10.1007/BF02567335
- Kai Wang, Decomposability of homotopy lens spaces and free cyclic group actions on homotopy spheres, Trans. Amer. Math. Soc. 220 (1976), 361–371. MR 431237, DOI 10.1090/S0002-9947-1976-0431237-4
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 355-356
- MSC: Primary 57E25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0461543-5
- MathSciNet review: 0461543