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Holomorphic seifert fibering

Part of the Lecture Notes in Mathematics book series (LNM,volume 299)

Keywords

  • Fundamental Group
  • Spectral Sequence
  • Short Exact Sequence
  • Orbit Space
  • Finite Order

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References

  1. M.A. Armstrong, The fundamental group of the orbit space of a discontinuous group, Proc. Camb. Philos. Soc. 64, 299–301 (1968).

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. L. Auslander and M. Kuranishi, On the holonomy group of locally Euclidean spaces, Annals of Math. vol. 65, 411–415 (1957).

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. M.A. Blanchard, Sue les variétés analytiques complexes, Ann. Sci. de L'Ecole Norm. Sup. 73, 137–202 (1956).

    MathSciNet  Google Scholar 

  4. A. Borel, with contribution by G. Bredon, E. E. Floyd, D. Montgomery and R. Palais, Seminar on Transformation Groups, Ann. of Math. Studies, 46, Princeton University Press (1960).

    Google Scholar 

  5. A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2, 111–122 (1963).

    CrossRef  MATH  MathSciNet  Google Scholar 

  6. G.E. Bredon, Sheaf Theory, Series in Higher Mathematics, McGraw-Hill Book Co., (1967).

    Google Scholar 

  7. E. Calabi, On Kähler manifolds with vanishing canonical class, Algebraic Geometry and Topology, Princeton Math. Series, Princeton University Press, 78–89 (1957).

    Google Scholar 

  8. E. Calabi and B. Eckmann, A class of compact complex manifolds, Annals of Math. vol. 5, 494–500 (1953).

    CrossRef  MathSciNet  Google Scholar 

  9. H. Cartan, Quotient d'un espace analytic par un group d'automorphismes, Algebraic Geometry and Topology, Princeton Math. Series, Princeton University Press, 90–102 (1957).

    Google Scholar 

  10. H. Cartan and S. Eilenberg, Homological Algebra, Princeton Math. Series, Princeton University Press (1956).

    Google Scholar 

  11. L. Charlap, Compact flat Riemannian manifolds, I, Annals of Math. vol. 81, 15–30 (1965).

    CrossRef  MATH  MathSciNet  Google Scholar 

  12. P.E. Conner, Lectures on the Action of a Finite Group, Lecture Notes in Mathematics No. 73, Springer-Verlag (1968).

    Google Scholar 

  13. P.E. Conner and F. Raymond, Actions of compact Lie groups on aspherical manifolds, Topology of Manifolds, Markham Publishing Co., 227–264 (1969). Proc. of the Ga. Top. of Man's Institute).

    Google Scholar 

  14. P.E. Conner and F. Raymond, Injective actions of toral groups, Topology 10, 283–296 (1971).

    CrossRef  MATH  MathSciNet  Google Scholar 

  15. P.E. Conner and F. Raymond, Injective Operations of the Toral Groups II, Proc. of this Conference.

    Google Scholar 

  16. P.E. Conner and F. Raymond, Derived Actions, Proc. of this Conference.

    Google Scholar 

  17. P.E. Conner and F. Raymond, Manifolds with Few Periodic Homeomorphisms, Proc. of this Conference.

    Google Scholar 

  18. A. Grothendieck, Sur quelques points d'algebre homologique, Tohoku Math. Jour. 9, 119–227 (1957).

    MATH  MathSciNet  Google Scholar 

  19. F. Hirzebruch, Topological Methods in Algebraic Geometry, Grundlehren der Mathematischen Wissenshaften, vol. 131, Springer-Verlag, Third Edition (1966). trans. by R.L.E. Schwartzenberger.

    Google Scholar 

  20. H. Holmann, Quotienträume komplexer Mannigfaltigkeiten nach komplexen Lieschen Automorphismengruppen, Math. Annalen 139, 383–402 (1960).

    CrossRef  MATH  MathSciNet  Google Scholar 

  21. H. Holmann, Seifertsche Faserräume, Math. Annalen 157, 138–166 (1964).

    CrossRef  MATH  MathSciNet  Google Scholar 

  22. D. Khan, Circle and toral actions on manifolds covered by the sphere, Ph.D. Thesis, The University of Michigan (1970).

    Google Scholar 

  23. K. Kodaira, On compact analytic surfaces, III, Annals of Math. vol. 78, 1–40 (1963).

    CrossRef  MATH  MathSciNet  Google Scholar 

  24. K. Kodaira, Compact complex analytic surfaces, I, Amer. Journ. of Math. vol. 86, 751–798 (1964).

    CrossRef  MATH  MathSciNet  Google Scholar 

  25. S. MacLane, Homology, Die Grundlehren der Mathematischen Wissenshaften, Springer-Verlag (1963).

    Google Scholar 

  26. Y. Matsushima, Hodge manifolds with zero first Chern class, Journ. of Diff. Geo. vol. 3, 477–480 (1969).

    MATH  MathSciNet  Google Scholar 

  27. P. Orlik and F. Raymond, On 3-manifolds with local SO(2)-action, Quar. Journ. Math. 20, 143–160 (1969).

    CrossRef  MATH  MathSciNet  Google Scholar 

  28. P. Orlik and F. Raymond, Actions of the torus on 4-manifolds I, Trans. Amer. Math. Soc. 152, 531–559 (1970).

    MATH  MathSciNet  Google Scholar 

  29. P. Orlik, E. Vogt and H. Zieschang, Zur Topologie gefaster drei-dimensionales Mannigfaltigkeiten, Topology 6, 49–64 (1961).

    CrossRef  MathSciNet  Google Scholar 

  30. P. Orlik and P. Wagreich, Isolated singularities of algebraic surfaces with C*-action, Ann. Math. 93, 205–227 (1971).

    CrossRef  MATH  MathSciNet  Google Scholar 

  31. R. Palais, On the existence of slices for actions of non-compact Lie groups, Ann. Math. 73, 295–323 (1961).

    CrossRef  MATH  MathSciNet  Google Scholar 

  32. F. Raymond, Classification of actions of the circle on 3-manifolds, Trans. Amer. Math. Soc. 131, 51–78 (1968).

    MATH  MathSciNet  Google Scholar 

  33. H. Seifert, Topologie dreidimensionaler gefaserter Räume, Acta. Math. 60, 147–238 (1933).

    CrossRef  MathSciNet  Google Scholar 

  34. N.E. Steenrod Topology of Fibre Bundles, Princeton Math. Series, Princeton University Press (1951).

    Google Scholar 

  35. H. Zieschang, On torus fiberings over surfaces, Matematičeskie Zametki 5, 569–576 (1969).

    MATH  MathSciNet  Google Scholar 

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Conner, P.E., Raymond, F. (1972). Holomorphic seifert fibering. In: Ku, H.T., Mann, L.N., Sicks, J.L., Su, J.C. (eds) Proceedings of the Second Conference on Compact Transformation Groups. Lecture Notes in Mathematics, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066764

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  • DOI: https://doi.org/10.1007/BFb0066764

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