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Involutions with $W(F)=1$

Author(s): Zhi Lü
Journal: Proc. Amer. Math. Soc. 128 (2000), 307-313.
MSC (1991): Primary 57R85; Secondary 57R90
Posted: May 6, 1999
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Abstract: Let $(T,M^n)$ be a smooth involution on a closed $n$-dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each component of the fixed point set $F$ of $(T,M^n)$ vanish in positive dimension. In this paper, we estimate the least possible lower bound of dim$F$ if $(T,M^n)$ does not bound.

References:

[1]
P.E.Conner and E.E.Floyd, Differentiable periodic maps, Springer, Berlin, 1964. MR 31:750

[2]
P.E.Conner and E.E.Floyd, Fibring within a cobordism class, Mich. Math. J., 12(1965), 33-47. MR 31:4038

[3]
P.E.Conner, Differentiable periodic maps, 2nd ed., Lecture Notes in Math., 738 (Springer,Berlin,1979). MR 81f:57018

[4]
C.Kosniowski and R.E.Stong, Involutions and characteristic numbers, Topology, 17(1978), 309-330. MR 82a:57036

[5]
R.E.Stong, Notes on cobordism theory, Princeton University Press, Princeton, N. J.,1968. MR 40:2108

[6]
J.M.Boardman, On manifolds with involution, Bull. Amer. Math. Soc., 73(1968),136-138. MR 34:5093

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Additional Information:

Zhi Lü
Affiliation: Department of Applied Mathematics, Tsinghua University, Beijing, 100084, People's Republic of China
Address at time of publication: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Email: zlu@ms326kaz.ms.u-tokyo.ac.jp

DOI: 10.1090/S0002-9939-99-05252-1
PII: S 0002-9939(99)05252-1
Keywords: Involution, fixed point set, symmetric polynomial function, bordism
Received by editor(s): March 24, 1998
Posted: May 6, 1999
Additional Notes: This work is supported by Youthful Foundation of Tsinghua University and the Japanese Government Scholarship.
Communicated by: Ralph Cohen
Copyright of article: Copyright 1999, American Mathematical Society

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