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Generalized deformations and holomorphic Poisson cohomology of solvmanifolds

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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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Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, 1-12-1, O-okayama, Meguro, Tokyo, 152-8551, Japan

    Hisashi Kasuya

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  1. Hisashi Kasuya
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Correspondence to Hisashi Kasuya.

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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

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