Bordism classes of vector bundles over real projective spaces

Torrence, Bruce F.

doi:10.1090/S0002-9939-1993-1136239-6

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
DOI: https://doi.org/10.1090/S0002-9939-1993-1136239-6
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 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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