Cohomological aspects of non-Kähler manifolds
arXiv:1302.0524
Abstract
In this thesis, we study cohomological properties of non-Kähler manifolds. In particular, we are concerned in investigating the cohomology of compact (almost-)complex manifolds, and of manifolds endowed with special structures, e.g., symplectic structures, D-complex structures in the sense of F. R. Harvey and H. B. Lawson, exhaustion functions satisfying positivity conditions.
Ph.D. thesis, Università di Pisa, advisor prof. Adriano Tomassini; http://etd.adm.unipi.it/theses/available/etd-01072013-231626/
References in corpus (6)
- Taming symplectic forms and the Calabi-Yau equation
- Autour de la cohomologie de Bott-Chern
- Reformulating Supersymmetry with a Generalized Dolbeault Operator
- Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
- Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
- Symplectic resolutions, Lefschetz property and formality