- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (5)
- Authors
- Malass, Ihsane; Tarkhanov, Nikolai
- Contact information
- Malass, Ihsane: University of Potsdam Potsdam, Germany; ihsane malass@hotmail.com; Tarkhanov, Nikolai: University of Potsdam Potsdam, Germany; tarkhanov@math.uni-potsdam.de
- Keywords
- De Rham complex; cohomology; Hodge theory; Neumann problem
- Abstract
We consider a perturbation of the de Rham complex on a compact manifold with boundary. This perturbation goes beyond the framework of complexes, and so cohomology does not apply to it. On the other hand, its curvature is "small", hence there is a natural way to introduce an Euler characteristic and develop a Lefschetz theory for the perturbation. This work is intended as an attempt to develop a cohomology theory for arbitrary sequences of linear mappings
- Pages
- 519–532
- DOI
- 10.17516/1997-1397-2020-13-5-519-532
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/135914
Journal of Siberian Federal University. Mathematics & Physics / A Perturbation of the de Rham Complex
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