Morse-Novikov cohomology of closed one-forms of rank 1

Alexandra Otiman

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arXiv · 1607.01663

Morse-Novikov cohomology of closed one-forms of rank 1

Alexandra Otiman

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Abstract

We discuss the Morse-Novikov cohomology of a compact manifold, associated to a closed one--form whose free abelian group generated by its periods $\langle \int_γη\mid [γ] \in π_1(M)\rangle$ is of rank 1, the focus being on locally conformally symplectic manifolds. In particular, we provide an explicit computation for the Inoue surface $\mathcal{S}^0$.

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Alexandra Otiman. 2016-07-20. Morse-Novikov cohomology of closed one-forms of rank 1. https://arxiv.org/abs/1607.01663

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