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Characteristic numbers and cobordism classes of fiberings with fiber $RP(2k)$

Author(s): Wang Yanying
Journal: Proc. Amer. Math. Soc. 129 (2001), 899-911.
MSC (2000): Primary 57R20; Secondary 57R85
Posted: August 30, 2000
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Abstract:

Some groups $A_n^k$ of $n$-dimensional unoriented cobordism classes represented by the total space of a fibering with the real projective space $RP(2k)$ as fiber are determined.

References:

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C. Kosniowski & R. E. Stong, Involutions and characteristic numbers, Topology, 17 (1978), 309-330. MR 82a:57036
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P. E. Conner, Differentiable periodic maps, 2nd ed. Springer Verlag, Berlin and New York, 1979.MR 81f:57018
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F. L. Capobianco, Manifolds with involution whose fixed set has codimension four, Proc. Amer. Math. Soc., 61 (1976), 157-162. MR 54:13941
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F. L. Capobianco, Cobordism classes represented by fiberings with fiber $RP(2k+1)$, Michigan Math. J., 24 (1977), 185-192. MR 57:1514
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J. W. Milnor and J. D. Stasheff, Characteristic classes, Princeton Univ. Press and Univ. of Tokyo Press, Princeton, New Jersey, 1974. MR 55:13428

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Additional Information:

Wang Yanying
Affiliation: Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, People's Republic of China
Email: wang-yanying@263.net

DOI: 10.1090/S0002-9939-00-05682-3
PII: S 0002-9939(00)05682-3
Keywords: Cobordism classes, characteristic number, fibering, symmetric polynomial, projective space bundle
Received by editor(s): May 12, 1999
Posted: August 30, 2000
Additional Notes: This research was supported by HNSF and BSHJJ
Communicated by: Ralph Cohen
Copyright of article: Copyright 2000, American Mathematical Society

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