Closed 1-Forms and Twisted Cohomology

Moroianu, Andrei and Pilca, Mihaela (2021) Closed 1-Forms and Twisted Cohomology. JOURNAL OF GEOMETRIC ANALYSIS, 31 (8). pp. 8334-8346. ISSN 1050-6926, 1559-002X

Full text not available from this repository. (Request a copy)

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.

Item Type: Article
Uncontrolled Keywords: Twisted cohomology; Morse-Novikov cohomology; Vaisman manifolds; Cohomology group; Closed 1-form; Group representation; Fundamental group
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Aug 2022 06:53
Last Modified: 25 Aug 2022 06:53
URI: https://pred.uni-regensburg.de/id/eprint/47007

Actions (login required)

View Item View Item