This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Assadi, Finite Group Actions on Simply Connected Manifolds and CW Complexes, Memoirs Amer. Math. Soc. 257 (1982).
M. F. Atiyah and I. M. Singer, The index of elliptic operators, III,Ann. of Math 87 (1968), 546–604.
J. F. Adams and G. Walker, On complex Stiefel manifolds, Proc.Camb. Phil.Soc. 61 (1965), 81–103.
A. Bak, Odd dimensional surgery groups of odd torsion groups vanish, Topology 14 (1975), 367–374.
W. Browder and T. Petrie, Diffeomorphisms of manifolds and semifree actions on homotopy spheres, Bull. Amer. Math. Soc. 77 (1971), 160–163.
T. tom Dieck, Bordism of G-manifolds and integrality theorems, Topology 9 (1970), 345–358.
K. H. Dovermann and T. Petrie, G-Surgery II, Memoirs Amer. Math. Soc. 260 (1982).
_____, An induction theorem for equivariant surgery (G-Surgery III), Amer.J.Math. 105 (1983), 1369–1403.
_____, Smith equivalence for representations of odd order groups, Topology 24 (1985), 283–305.
K. H. Dovermann and M. Rothenberg, An equivariant surgery sequence and equivariant homeomorphism and diffeomorphism classification, Topology Symposium (Siegen, 1979), Lecture Notes in Math. Vol. 788, Springer, Berlin-HeidelbergNew York-Toyko, 1980, pp. 257–280.
_____, Equivariant Surgery and Classification of Finite Group Actions on Manifolds, Memoirs Amer. Math. Soc. 379 (1988).
J. Ewing, Spheres as fixed point sets, Quart.J.Math.Oxford 27 (1976), 445–455.
F. Hirzebruch, Topological Methods in Algebraic Geometry, Spinger-Verlag, new York, 1966.
_____, Hilbert modular surfaces, L'enseignement mathematique 19 (1973), 183–281.
L. Jones, The converse to the fixed point theorem of P. A. Smith II, Indiana Univ. Math. J. 22 (1972), 309–325 correction 24 (1975), 1001–1003.
K. Kawakubo, The index and the Todd genus of ℤp-actions, Amer. J. Math. 97 (1975), 182–204.
S.S. Kim, Ph.D. Thesis, Purdue University,1988.
M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. 77 (1963), 504–537.
M. Masuda and R. Schultz, Equivariant inertia groups and rational invariants for nonfree actions (to appear).
R. Oliver, Fixed point sets of finite group actions on acyclic complexes, Comment. Math. Helv. 50 (1975), 155–177.
K. Pawalowski, Fixed points of cyclic group actions on disks, Bull. Acad. Polon. Sci. Math. Astr. Phys. 26 (1978), 1011–1015.
_____, Group actions with inequivalent representations at fixed points, Math.Z. 187 (1984), 29–47.
_____, Equivariant thickening for compact Lie group actions, Mathematica Gottingensis 71 (1986).
_____, Fixed points of smooth group actions on disks and euclidean spaces, preprint, 1986.
R. Stong, Notes on Corbordism Theory, Mathematical Notes, Princeton University Press, 1968.
I. N. Stewart and D. O. Tall, Algebraic Number Theory (second edition), Champman and Hall, New York, 1987.
R. Schultz, Nonlinear analogs of linear group actions on spheres, Bull. Amer.Math. Soc 11 (1984), 263–285.
_____, Pontryagin numbers and periodic diffeomorphisms of spheres, to appear in the Proceedings of the Conference on Group Actions, Osaka, 1987 (in the Springer Lecture Notes Series).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Kim, S.S. (1991). Characteristic numbers and group actions. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084755
Download citation
DOI: https://doi.org/10.1007/BFb0084755
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54098-4
Online ISBN: 978-3-540-47403-6
eBook Packages: Springer Book Archive