Free differentiable S 1 and S 3 actions on homotopy spheres

Dan Burghelea

Annales scientifiques de l'École Normale Supérieure (1972)

  • Volume: 5, Issue: 2, page 183-215
  • ISSN: 0012-9593

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Burghelea, Dan. "Free differentiable $S^1$ and $S^3$ actions on homotopy spheres." Annales scientifiques de l'École Normale Supérieure 5.2 (1972): 183-215. <http://eudml.org/doc/81893>.

@article{Burghelea1972,
author = {Burghelea, Dan},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {183-215},
publisher = {Elsevier},
title = {Free differentiable $S^1$ and $S^3$ actions on homotopy spheres},
url = {http://eudml.org/doc/81893},
volume = {5},
year = {1972},
}

TY - JOUR
AU - Burghelea, Dan
TI - Free differentiable $S^1$ and $S^3$ actions on homotopy spheres
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1972
PB - Elsevier
VL - 5
IS - 2
SP - 183
EP - 215
LA - eng
UR - http://eudml.org/doc/81893
ER -

References

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  1. [1] M. ATIYAH and F. HIRZEBRUCH, Spin-Manifolds and Group Actions (Essays on Topology and Related Topics (dédié à G. DE RHAM), Springer-Verlag, 1970). Zbl0193.52401MR43 #4064
  2. [2] A. BOREL and coll., Seminar on Transformation Groups (Annals of Math. Studies). Zbl0091.37202
  3. [3] W. BROWDER, Surgery and the Theory of Differentiable Transformation Groups, (Proceedings of the Conference on Transformation Groups, Springer-Verlag, 1968, p. 1-46). Zbl0177.51902MR41 #6242
  4. [4] G. BRUMFIEL, Differentiable S'-action on Homotopy Spheres (mineo-M. I. T.). 
  5. [5] H. CARTAN, Suite exacte de Gysin, Séminaire 1958/1959, E. N. S., Exposé 3. 
  6. [6] R. C. KIRBY and L. C. SIEBENMANN, On the Triangulability of Manifolds and the Hauptvermutung (B. A. M. S., vol. 75, 1969, p. 748-749). Zbl0189.54701MR39 #3500
  7. [7] W. C. HSIANG, A Note on Free Differentiable Actions of S¹ and S³ on Homotopy Spheres (Ann. of Math., vol. 83, p. 266-272). Zbl0137.17802MR33 #731
  8. [8] J. MILNOR, Lectures on Characteristic Classes (mimeo), Princeton, 1968. 
  9. [9] D. MONTGOMERY and C. T. YANG, Differentiable Actions on Homotopy Seven-Spheres II. (Proceedings of the Conference on Transformation Groups, Springer-Verlag, 1968, p. 125-134). Zbl0177.51903MR39 #6353
  10. [10] Proceedings of the Conference on Transformation Groups “Problems”, p. 235-256, Springer-Verlag, 1968. 
  11. [11] C. ROURKE and D. SULLIVAN, On the Kervaire Obstruction, (mimeo) Warwick Univ., 1969. 
  12. [12] B. SANDERSON, Immersions and Embeddings of Projective Spaces [Proc. London Math. Soc., (3), vol. 14, 1964, p. 137-153]. Zbl0122.41703MR29 #2814
  13. [13] D. SULLIVAN, Triangulating Homotopy Equivalences (Thesis, Princeton University). 
  14. [14] D. SULLIVAN, Seminar in Geometric Topology, I. A. S., 1967. 
  15. [15] C. T. YANG, The Triangulability of the Orbit Space of a Differentiable Transformation Group (B. A. M. S., vol. 69, 1963, p. 408). Zbl0114.14502MR26 #3813
  16. [16] J. BOARDMAN and R. VOGT, Homotopy-everything H-spaces (B. A. M. S., vol. 74, 1968, p. 1117-1122). Zbl0165.26204MR38 #5215
  17. [17] M. KERVAIRE and J. MILNOR, Groups of Homotopy Spheres I, (Annals of Math., 1963, p. 504-537). Zbl0115.40505MR26 #5584

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