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Techniques of computations of Dolbeault cohomology of solvmanifolds
Dolbeault cohomology solvmanifolds Differential Geometry
2011/9/20
Abstract: We consider semi-direct products $\C^{n}\ltimes_{\phi}N$ of Lie groups with lattices $\Gamma$ such that $N$ are nilpotent Lie groups with left-invariant complex structures. We compute the Do...
Minimal models, formality and hard Lefschetz properties of solvmanifolds with local systems
solvmanifold Sullivan’s minimal model formality Hard Lefschetz property
2010/12/3
For a simply connected solvable Lie group G with a cocompact discrete subgroup , we consider the space of differential forms on the solvmanifold G/with values in certain flat bundl...