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

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

Keywords

  • Line Bundle
  • Compact Group
  • Maximal Torus
  • Maximal Rank
  • Linear Action

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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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© 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

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