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Hodge cohomology of iterated fibred cusp metrics on Witt spaces
Hodge cohomology iterated fibred cusp metrics Witt spaces Differential Geometry
2012/6/21
On a Witt space, we identify the $L^2$ cohomology of iterated fibred cusp metrics with the middle perversity intersection cohomology of the corresponding stratified space.
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...
On tangential cohomology attached to a function on complex foliations
complex foliations cohomology
2011/1/18
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a relative cohomology and...