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Homotopy invariants of nonorientable 4-manifolds

Myung Ho Kim, Sadayoshi Kojima, Frank Raymond

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Source: Crossref

Published: Jan 1, 1992

DOI: 10.1090/s0002-9947-1992-1028758-1

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Source abstract

We define a Z 4 {{\mathbf {Z}}_4} -quadratic function on π 2 {\pi _2} for nonorientable 4 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 4 -manifolds.

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Homotopy invariants of nonorientable 4-manifolds — Mathematical Frontier Network