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On the fixed point sets of smooth involutions on the products of spheres
Author(s):
Huajian
Yang
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1941-1947.
MSC (1991):
Primary 57S17
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Abstract:
In this paper, we have, under some conditions on cohomology, that the fixed point set of a smooth involution on a product of spheres is of constant dimension.
References:
- 1.
- M. F. Atiyah, K-Theory, Benjamin, New York, 1967. MR 36:7130
- 2.
- A. Borel and Hirzebruch, On the characteristic classes of the homogeneous spaces, Amer. J. Math., Vol. 80 (1958), 458-538. MR 21:1586
- 3.
- G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York and London (1972). MR 54:1265
- 4.
- J. W. Milnor and Stashelff, Characteristic classes, Annals of Math. Studies, No.76(1974). MR 55:13428
- 5.
- Huajian Yang, Wu Zhende and Liu Zongze, Involution number sequence and its applications (II), Science in China(Ser.A), 35(1992), pp819-825. MR 94a:57050
- 6.
- Huajian Yang, Involution number sequence and its applications (I), Science in China (Ser. A), 34(1991), pp541-545.
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Additional Information:
Huajian
Yang
Affiliation:
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015 -
Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China, 510631
Email:
hy02@lehigh.edu
DOI:
10.1090/S0002-9939-96-03249-2
PII:
S 0002-9939(96)03249-2
Keywords:
Fixed points,
involutions
Received by editor(s):
September 22, 1993
Received by editor(s) in revised form:
November 20, 1994
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1996,
American Mathematical Society
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