Cohomology with local coefficients of solvmanifolds and Morse-Novikov theory

Dmitri V. Millionschikov

We study the cohomology $H_{\lambda \omega }^{\ast }(G/\Gamma ,\mathbb{C})$ of the deRham complex ${\Lambda }^{\ast }(G/\Gamma )\otimes \mathbb{C}$ of a compact solvmanifold $G/\Gamma$ with a deformed differential $d_{\lambda \omega }=d+\lambda \omega$…