Equivariant bordism and Smith theory
HTML articles powered by AMS MathViewer
- by R. E. Stong PDF
- Trans. Amer. Math. Soc. 159 (1971), 417-426 Request permission
Abstract:
The relationship between equivariant bordism and Smith homology theory on the category of pairs with involution is studied.References
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
- Samuel Eilenberg, Homology of spaces with operators. I, Trans. Amer. Math. Soc. 61 (1947), 378–417; errata, 62, 548 (1947). MR 21313, DOI 10.1090/S0002-9947-1947-0021313-4
- E. E. Floyd, Orbit spaces of finite transformation groups. I, Duke Math. J. 20 (1953), 563–567. MR 58962, DOI 10.1215/S0012-7094-53-02056-0
- Armand Borel, Seminar on transformation groups, Annals of Mathematics Studies, No. 46, Princeton University Press, Princeton, N.J., 1960. With contributions by G. Bredon, E. E. Floyd, D. Montgomery, R. Palais. MR 0116341 C. N. Lee and A. G. Wasserman, Equivariant characteristic numbers, Notices Amer. Math. Soc. 17 (1970), 254. Abstract #672-592. P. A. Smith, “Fixed points of periodic transformations,” in S. Lefschetz, Algebraic topology, Amer. Math. Soc. Colloq. Publ., vol. 27, Amer. Math. Soc., Providence, R. I., 1942. MR 4, 84.
- R. E. Stong, Bordism and involutions, Ann. of Math. (2) 90 (1969), 47–74. MR 242170, DOI 10.2307/1970681
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 159 (1971), 417-426
- MSC: Primary 57.47; Secondary 55.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-0287575-7
- MathSciNet review: 0287575