Geodesic
Homotopy invariants of nonsimply connected manifolds. I.~Rational invariants
Izvestiya. Mathematics , Tome 4 (1970) no. 3, pp. 506-519.

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Invariants of nonsimply connected manifolds are investigated of the same type as the signature of a manifold, or of “higher signature” for manifolds with free Abelian fundamental group, which correspond to the possibility of surgery on a manifold. It is proved that these invariants depend only on the homotopy type of the manifold and a bordism class of manifolds. 
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     title = {Homotopy invariants of nonsimply connected manifolds. {I.~Rational} invariants},
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A. S. Mishchenko. Homotopy invariants of nonsimply connected manifolds. I.~Rational invariants. Izvestiya. Mathematics , Tome 4 (1970) no. 3, pp. 506-519. http://geodesic.mathdoc.fr/item/IM2_1970_4_3_a1/

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