Abstract
This paper aims at giving a complete classification of semifree orientation preserving PL locally linear group actions on the sphere.
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References
J. Alexander, G. Hamrick and J. Vick,Involutions on homotopy spheres, Invent. Math.24 (1974), 15–50.
A. Assadi, Ph.D. thesis, Princeton University, 1978.
A. Assadi and W. Browder, unpublished.
A. Assadi and P. Vogel,Semifree group actions on compact manifolds, Topology26 (1987).
H. Bass,K-theory, Benjamin, New York, 1968.
S. Cappell and S. Weinberger,Homology propagation on group actions, Commun. Pure Appl. Math.40 (1987), 723–744.
S. Cappell and S. Weinberger, CBMS Lecture Notes, in preparation.
S. Cappell and S. Weinberger,Which finite H-spaces are manifolds, Topology, to appear.
S. Cappell and S. Weinberger,A simple approach to Atiyah-Singer classes, J. Differ. Geom., to appear.
J. Davis,Detection of odd dimensional surgery obstructions with finite fundamental group, Topology, to appear.
J. Davis,Zero dimensional surgery, preprint.
J. Davis and P. Loffler,A note on simple duality, Proc. Am. Math. Soc.94 (1985), 343–347.
J. Davis and S. Weinberger,Group actions on homology spheres, Invent. Math.86 (1986), 209–231.
J. Davis and S. Weinberger,Swan subgroups of L-theory and their application, in preparation.
L. Jones,The converses to the fixed point theorem of P. A. Smith, I, Ann. of Math.94 (1971), 52–68.
L. Jones,The converses to the fixed point theorem of P. A. Smith, II, Indiana Univ. Math. J.22 (1972), 309–325;Correction 24 (1975), 1001–1003.
M. Kervaire,Relative characteristic classes, Am. J. Math.79 (1957), 517–558.
P. Loffler,Homotopielineare Z p-operationen auf spharen, Topology20 (1981), 291–312.
R. Lashof and M. Rothenberg,G-smoothing, 1978 Stanford Conference.
R. Oliver,Fixed point sets of group actions on finite acyclic spaces, Comm. Math. Helv.50 (1975), 145–177.
F. Quinn,Ends of maps, II, Invent. Math.68 (1982), 352–424.
M. Rothenberg and J. Sondow,Nonlinear smooth representations of compact Lie groups, Pacific J. Math.84 (1979), 427–444.
R. Schultz,Differentiability and the P.A. Smith theorems for spheres I: Actions of prime order groups, Canad. Conf. Proc., Vol. 2, Part 2, 1982, pp. 235–273.
P. A. Smith,Transformations of finite period, Ann. of Math.39 (1938), 127–164.
S. Weinberger,Constructions of group actions, Contemp. Math.36 (1985), 269–298.
S. Weinberger,Homologically trivial group actions I: Simply connected manifolds, Am. J. Math.108 (1986), 1005–1021.
S. Weinberger,The classification of stratified spaces, in preparation.
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Partially supported by an NSF PYI award and a Sloan Foundation Fellowship.
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Weinberger, S. Semifree locally linear pl actions on the sphere. Israel J. Math. 66, 351–363 (1989). https://doi.org/10.1007/BF02765903
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DOI: https://doi.org/10.1007/BF02765903