Homotopy invariants of nonorientable 4-manifolds

Kim, Myung Ho; Kojima, Sadayoshi; Raymond, Frank

doi:10.1090/S0002-9947-1992-1028758-1

Homotopy invariants of nonorientable $4$-manifolds
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by Myung Ho Kim, Sadayoshi Kojima and Frank Raymond

Trans. Amer. Math. Soc. 333 (1992), 71-81

DOI: https://doi.org/10.1090/S0002-9947-1992-1028758-1

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Abstract:

We define a ${{\mathbf {Z}}_4}$-quadratic function on ${\pi _2}$ for nonorientable $4$-manifolds and show that it is a homotopy invariant. We then use it to distinguish homotopy types of certain manifolds that arose from an analysis of toral action on nonorientable $4$-manifolds.

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