Geodesic
On the sharpness of Novikov type inequalities for manifolds with free Abelian fundamental group
Sbornik. Mathematics, Tome 68 (1991) no. 2, pp. 351-389

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For manifolds $M^n$, $n\geqslant6$, with free Abelian fundamental group and four-connected universal covering, the author proves the sharpness of Novikov's inequalities for rational cohomology classes $\xi\in H^1(M,\mathbf Q)$ belonging to an open everywhere dense set $U\subset H^1(M,\mathbf R)$. Figures: 1. Bibliography: 20 titles. 
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     author = {A. V. Pajitnov},
     title = {On the sharpness of {Novikov} type inequalities for manifolds with free {Abelian} fundamental group},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_1991_68_2_a3/}
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A. V. Pajitnov. On the sharpness of Novikov type inequalities for manifolds with free Abelian fundamental group. Sbornik. Mathematics, Tome 68 (1991) no. 2, pp. 351-389. http://geodesic.mathdoc.fr/item/SM_1991_68_2_a3/