Closed 1-Forms and Twisted Cohomology

30 Jun 2020 Moroianu Andrei Pilca Mihaela

We show that the first twisted cohomology group associated to closed 1-forms on compact 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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  • DIFFERENTIAL GEOMETRY