Abstract
We describe the generalized Kuranishi spaces of solvmanifolds with left-invariant complex structures. By using such description, we study the stability of left-invariantness of deformed generalized complex structures and smoothness of generalized Kuranishi spaces on certain classes of solvmanifolds. We also give explicit finite-dimensional cochain complexes which computes the holomorphic Poisson cohomology of nilmanifolds and solvmanifolds.
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Kasuya, H. Generalized deformations and holomorphic Poisson cohomology of solvmanifolds. Ann Glob Anal Geom 51, 155–177 (2017). https://doi.org/10.1007/s10455-016-9529-x
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DOI: https://doi.org/10.1007/s10455-016-9529-x
Keywords
- Dolbeault cohomology
- Solvmanifold
- Deformation of generalized complex structure
- Holomorphic Poisson cohomology