Keywords
- Spectral Sequence
- Homotopy Class
- Homotopy Group
- Normal Invariant
- Homotopy Sphere
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J.M. Boardman and R.M. Vogt, Homotopy-everything H-spaces, Bull. Amer. Math. Soc. 74 (1968), 1117–1122.
W. Browder, Surgery and the theory of differentiable transformation groups, Proceedings of the Conference on Transformation Groups (New Orleans, 1967), 1–46. Springer-Verlag, New York, 1968.
_____, and T. Petrie, Semifree and quasifree S1 actions on homotopy spheres, Essays on Topology and Related Topics (Memoires dediés à G. de Rham), 136–146. Springer-Verlag, New York, 1970.
_____, Diffeomorphisms of manifolds and semifree actions of homotopy spheres, Bull. Amer. Math. Soc. 77 (1971), 160–163.
H. Federer, A study of function spaces by spectral sequences, Trans. Amer. Math. Soc. 82 (1956), 340–361.
K. Kawakubo, Invariants for semifree S1 actions, mimeographed, Institute for Advanced Study, Princeton, 1971.
M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. 78 (1963), 514–537.
H.-T. Ku, A note on semifree actions of S1 on homotopy spheres, Proc. Amer. Math. Soc. 22 (1969), 614–617.
_____, and M.-C. Ku, Semifree differentiable actions of S1 on homotopy (4k+3)-spheres, Mich. Math. J. 15 (1968), 471–476.
C.P. Rourke, The Hauptvermutung according to Sullivan, mimeographed, Institute for Advanced Study, Princeton, 1968.
R. Schultz, Semifree circle actions and the degree of symmetry of homotopy spheres, Amer. J. Math., to appear.
J.-P. Serre, Groupes d'homotopie et classes des groupes abeliens, Ann. of Math. 58 (1953), 258–294.
D. Sullivan, Geometric Topology I: Localization, periodicity, and Galois symmetry, mimeographed, Massachusets Institute of Technology, 1970.
H. Toda, Composition Methods in Homotopy Groups of Spheres, Annals of Mathematics Study No. 49. Princeton University Press, Princeton. 1962.
_____, On iterated suspensions I, J. Math. Kyoto Univ. 5 (1965–1966), 87–142. Ibid. II, 209–250.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1972 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Schultz, R. (1972). Semifree circle actions with twisted fixed point sets. 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 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070034
Download citation
DOI: https://doi.org/10.1007/BFb0070034
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06077-2
Online ISBN: 978-3-540-38063-4
eBook Packages: Springer Book Archive
