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  • Cited by 5
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Little, Robert D. 2007. Cyclic actions and divisible polynomials. Journal of Pure and Applied Algebra, Vol. 208, Issue. 3, p. 805.

    Little, Robert D. 1998. Regular cyclic actions on complex projective space with codimension-two fixed points. Journal of the Australian Mathematical Society, Vol. 65, Issue. 01, p. 51.

    Little, Robert D. 1990. The Pontrjagin class of a homotopy complex projective space. Topology and its Applications, Vol. 34, Issue. 3, p. 257.

    Dovermann, Karl Heinz Masuda, Mikiya and Suh, Dong Youp 1989. Rigid versus non-rigid cyclic actions. Commentarii Mathematici Helvetici, Vol. 64, Issue. 1, p. 269.

    Edmonds, Allan L. and Ewing, John H. 1989. Locally linear group actions on the complex projective plane. Topology, Vol. 28, Issue. 2, p. 211.

  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 101, Issue 3
  • May 1987, pp. 487-507

Rigid cyclic group actions on cohomology complex projective spaces

  • Karl Heinz Dovermann (a1)
  • DOI:
  • Published online: 24 October 2008

In this paper we discuss smooth and locally smooth cyclic actions on cohomology complex projective spaces. We shall show that in low dimensions the presence of a codimension-two fixed-point component forces many algebraic invariants to behave as they do in the linear examples.

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[2]G. Bredon . The cohomology ring structure of a fixed point set. Ann. of Math. 80 (1964), 524537.

[4]G. Bredon . Examples of differentiable group actions. Topology 3 (1965), 115122.

[5]S. Cappell and J. Shaneson . Piecewise linear embeddings and their singularities. Ann. of Math. 103 (1976), 163228.

[12]W. Y. Hsiang . Cohomology Theory of Transformation Groups. Ergeb. der Math. Bd 85 (Springer, 1975).

[17]R. C. Kirby and L. C. Siebenmann . Foundational Essays on Topological Manifolds, Smoothings and Triangulations. Ann. of Math. Studies 88 (Princeton University Press, 1977).

[18]H. Kneser . Die Deformationssätze der einfach zusammenhängenden Flächen. Math. Z. 25 (1926), 362372.

[20]M. Masuda . Smooth involutions on homotopy ℂP3. Amer. J. Math. 106 (1984), 14871501.

[23]T. Petrie . Smooth S1 actions on homotopy complex projective spaces and related topics. Bull. Amer. Math. Soc. 78 (1972), 105153.

[24]T. Petrie . Exotic S1 actions on ℂP3 and related topics. Invent. Math. 17 (1972), 317327.

[25]T. Petrie . Torus actions on homotopy complex projective spaces. Invent. Math. 20 (1973), 139146.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
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