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Closed 1-Forms and Twisted Cohomology

Moroianu, Andrei ; Pilca, Mihaela



Abstract

We show that the first twisted cohomology group associated with closed 1-forms on differentiable manifolds is related to certain 2-dimensional representations of the fundamental group. In particular, we construct examples of nowhere-vanishing 1-forms with non-trivial twisted cohomology.


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