Wall manifolds
Author:
R. E. Stong
Journal:
Trans. Amer. Math. Soc. 251 (1979), 287-298
MSC:
Primary 57R85
DOI:
https://doi.org/10.1090/S0002-9947-1979-0531980-5
MathSciNet review:
531980
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Abstract | References | Similar Articles | Additional Information
Abstract: In the calculation of the oriented cobordism ring, it is standard to consider so-called Wall manifolds, for which the first Stiefel-Whitney class is the reduction of an integral class. This paper studies the Wall-type structures in the equivariant case.
- [1] Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. MR 0413144
- [2] Frank L. Capobianco, Cobordism classes represented by fiberings with fiber 𝑅𝑃(2𝑘+1), Michigan Math. J. 24 (1977), no. 2, 185–192. MR 461529
- [3] Pierre E. Conner, Lectures on the action of a finite group, Lecture Notes in Mathematics, No. 73, Springer-Verlag, Berlin-New York, 1968. MR 0258023
- [4] Katsuhiro Komiya, Oriented bordism and involutions, Osaka Math. J. 9 (1972), 165–181. MR 307221
- [5] R. J. Rowlett, Wall manifolds with involution, Trans. Amer. Math. Soc. 169 (1972), 153–162. MR 314076, https://doi.org/10.1090/S0002-9947-1972-0314076-0
- [6] R. E. Stong, Unoriented bordism and actions of finite groups, Memoirs of the American Mathematical Society, No. 103, American Mathematical Society, Providence, R.I., 1970. MR 0273645
- [7] C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. (2) 72 (1960), 292–311. MR 120654, https://doi.org/10.2307/1970136
- [8] E. R. Wheeler, Equivariant bordism exact sequences, Duke Math. J. 42 (1975), no. 3, 451–458. MR 372884
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1979-0531980-5
Article copyright:
© Copyright 1979
American Mathematical Society
