Constant codimension fixed sets of commuting involutions
HTML articles powered by AMS MathViewer
- by R. J. Shaker PDF
- Proc. Amer. Math. Soc. 121 (1994), 275-281 Request permission
Abstract:
The ideals $\mathcal {J}_{ \ast ,k}^r$ of cobordism classes in ${\mathcal {N}_ \ast }$, containing a representative admitting a ${({{\mathbf {Z}}_2})^k}$-action with fixed point set of codimension r are determined for ${2^k} > r$.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
- Tammo tom Dieck, Fixpunkte vetauschbarer Involutionen, Arch. Math. (Basel) 21 (1970), 295–298 (German). MR 268901, DOI 10.1007/BF01220918
- Pedro L. Q. Pergher, $(Z_2)^k$-actions with fixed point set of constant codimension, Topology Appl. 46 (1992), no. 1, 55–64. MR 1177163, DOI 10.1016/0166-8641(92)90039-3
- R. E. Stong, On fibering of cobordism classes, Trans. Amer. Math. Soc. 178 (1973), 431–447. MR 315733, DOI 10.1090/S0002-9947-1973-0315733-3
- René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 275-281
- MSC: Primary 57S17; Secondary 57R75
- DOI: https://doi.org/10.1090/S0002-9939-1994-1179592-0
- MathSciNet review: 1179592