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http://hdl.handle.net/2445/181976
Title: | Dolbeault cohomology for almost complex manifolds |
Author: | Cirici, Joana Wilson, Scott O. |
Keywords: | Varietats complexes Geometria diferencial global Homologia Complex manifolds Global differential geometry Homology |
Issue Date: | 19-Nov-2021 |
Publisher: | Elsevier B.V. |
Abstract: | This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manifolds. We define a spectral sequence converging to ordinary cohomology, whose first page is the Dolbeault cohomology, and develop a harmonic theory which injects into Dolbeault cohomology. Lie-theoretic analogues of the theory are developed which yield important calculational tools for Lie groups and nilmanifolds. Finally, we study applications to maximally non-integrable manifolds, including nearly Kähler |
Note: | Reproducció del document publicat a: https://doi.org/10.1016/j.aim.2021.107970 |
It is part of: | Advances in Mathematics, 2021, vol. 391 |
URI: | http://hdl.handle.net/2445/181976 |
Related resource: | https://doi.org/10.1016/j.aim.2021.107970 |
ISSN: | 0001-8708 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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