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Line bundles, cohomology automorphisms, and homotopy rigidity of linear actions

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Geometric Applications of Homotopy Theory II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 658))

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References

  1. M.F. Atiyah and G.B. Segal, Lectures on equivariant K-theory, Mimeographed notes, Oxford 1965.

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  2. A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Annals of Math. 57(1953), 115–207.

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  3. H.Glover and W.Homer, Automorphisms of the cohomology ring of a finite Grassmann manifold (manuscript, March 1977).

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  4. A.Liulevicius, Homotopy types of linear G-actions on complex projective spaces. Matematisk Institut, Aarhus Universitet, Preprint Series 1975/76, No. 14.

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  5. —, Characters do not lie. Transformation Groups (ed. Czes Kosniowski), Proceedings of the conference on Transformation Groups, Newcastle upon Tyne, August 1976, Cambridge University Press (1976), 139–146.

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  6. —, Homotopy rigidity of linear actions: characters tell all (to appear in the Bulletin AMS).

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  7. —, Homogeneous forms of high degree and homotopy rigidity (to appear in the proceedings of the summer conference on algebraic topology, Vancouver 1977).

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  8. G.B. Segal, Equivariant K-theory, Publ. Math. I.H.E.S. 34 (1968), 129–151.

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  9. —, Cohomology of topological groups. Symposia Mathematica, vol. IV (INDAM, Rome, 1968/69), 377–387.

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Authors and Affiliations

  1. Department of Mathematics, The University of Chicago, 60637, Chicago, Illinois

    Arunas Liulevicius

Authors
  1. Arunas Liulevicius
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M. G. Barratt M. E. Mahowald

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© 1978 Springer-Verlag

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Liulevicius, A. (1978). Line bundles, cohomology automorphisms, and homotopy rigidity of linear actions. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory II. Lecture Notes in Mathematics, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068720

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  • DOI: https://doi.org/10.1007/BFb0068720

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08859-2

  • Online ISBN: 978-3-540-35808-4

  • eBook Packages: Springer Book Archive

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