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Torus actions on homotopy complex projective spaces. (English) Zbl 0262.57021


MSC:

57S15 Compact Lie groups of differentiable transformations
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References:

[1] Atiyah, M.F.:K Theory. New York: Benjamin 1967.
[2] Atiyah, M.F., Hirzebruch, F.: Spin-manifolds and group actions. Essays on Topology and Related Topics. A. Haefliger and R. Narasimhan (Eds.) Berlin-Heidelberg-New York: Springer 1970. · Zbl 0193.52401
[3] Atiyah, M.F., Segal, G.: Index of elliptic operators II. Ann. of Math.87, 531-545 (1968). · Zbl 0164.24201
[4] Atiyah, M.F., Segal, G.: EquivariantK theory and completion. J. of Diff. Geometry3, 1-18 (1969). · Zbl 0215.24403
[5] Atiyah, M.F., Singer, I.: Index of elliptic operators III. Ann. of Math.87, 546-604 (1968). · Zbl 0164.24301
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[7] Bredon, G.: Introduction to Compact Transformation Groups. New York-London: Academic Press 1972. · Zbl 0246.57017
[8] Newman, M.H.A.: A theorem on periodic transformations of spaces. Quart. J. Math., Oxford Series.2, 1-18 (1931). · Zbl 0001.22703
[9] Petrie, T.: SmoothS 1 actions on homotopy complex projective spaces and related topics. Bull. A.M.S.78, 105-153 (1972). · Zbl 0247.57010
[10] Petrie, T.: ExoticS 1 actions onCP 3 and related topics. Inventiones math.17, 317-328 (1972). · Zbl 0243.57020
[11] Sullivan, D.: Triangulating and smoothing homotopy equivalences and homeomorphisms. Mimeographed notes. Princeton University (1966).
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