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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Bordism classes of vector bundles over real projective spaces


Author: Bruce F. Torrence
Journal: Proc. Amer. Math. Soc. 118 (1993), 963-969
MSC: Primary 57R90; Secondary 55N22
MathSciNet review: 1136239
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Abstract: A basis is presented for the $ {\mathbf{R}}{{\mathbf{P}}^n}$ classes in $ {\mathfrak{N}_n}(BO)$. This basis is used to prove that every smooth involution $ (M,T)$ on a closed manifold bounds if its fixed point set is a disjoint union of odd-dimensional projective spaces of constant dimension.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1136239-6
PII: S 0002-9939(1993)1136239-6
Keywords: Cobordism, involution
Article copyright: © Copyright 1993 American Mathematical Society