Involutions fixing , II

Author:
Zhi Lü

Journal:
Trans. Amer. Math. Soc. **356** (2004), 1291-1314

MSC (2000):
Primary 57R85, 57S17, 57R20, 55N22

Published electronically:
October 29, 2003

MathSciNet review:
2034310

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper studies the equivariant cobordism classification of all involutions fixing a disjoint union of an odd-dimensional real projective space with its normal bundle nonbounding and a Dold manifold with a positive even and . The complete analysis of the equivariant cobordism classes of such involutions is given except that the upper and lower bounds on the codimension of may not be best possible. In particular, we find that there exist such involutions with nonstandard normal bundle to . Together with the results of part I of this title (Trans. Amer. Math. Soc. **354** (2002), 4539-4570), the argument for involutions fixing is finished.

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Additional Information

**Zhi Lü**

Affiliation:
Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China

Address at time of publication:
Department of Mathematics, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

Email:
zlu@fudan.edu.cn

DOI:
https://doi.org/10.1090/S0002-9947-03-03489-5

Keywords:
Involution,
Dold manifold,
characteristic class

Received by editor(s):
March 15, 2002

Published electronically:
October 29, 2003

Additional Notes:
This work was supported by grants from NSFC and JSPS (No. P02299)

Article copyright:
© Copyright 2003
American Mathematical Society