Nonimmersion of lens spaces with 2-torsion

Berrick, A. J.

doi:10.1090/S0002-9947-1976-0420662-3

Nonimmersion of lens spaces with 2-torsion
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by A. J. Berrick

Trans. Amer. Math. Soc. 224 (1976), 399-405

DOI: https://doi.org/10.1090/S0002-9947-1976-0420662-3

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Abstract:

From a study of the equivariant unitary K-theory of the Stiefel manifold ${V_{k + 1,2}}({\mathbf {C}})$, it is shown that the lens space ${L^k}(n)$, with n a multiple of ${2^{2k - 1 - \alpha (k - 1)}}$, does not immerse in Euclidean space of dimension $4k - 2\alpha (k) - 2$.

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