On the fixed point sets of smooth involutions
on the products of spheres
Author:
Huajian Yang
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1941-1947
MSC (1991):
Primary 57S17
DOI:
https://doi.org/10.1090/S0002-9939-96-03249-2
MathSciNet review:
1307574
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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.
- 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.
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 57S17
Retrieve articles in all journals with MSC (1991): 57S17
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:
https://doi.org/10.1090/S0002-9939-96-03249-2
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
Article copyright:
© Copyright 1996
American Mathematical Society
