Closed 1-Forms and Twisted Cohomology
Differential Geometry
2023-05-02 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2003.10368,
title = {Closed 1-Forms and Twisted Cohomology},
author = {Andrei Moroianu and Mihaela Pilca},
journal= {arXiv preprint arXiv:2003.10368},
year = {2023}
}
Comments
13 pages, a gap in the proof of Lemma 1.1 corrected