Symplectic Bott-Chern cohomology of solvmanifolds
Daniele Angella, Hisashi Kasuya
TL;DR
This paper investigates the symplectic Bott-Chern cohomology of solvmanifolds with left-invariant symplectic structures, extending the theory to local systems and discussing implications for symplectic Hodge theory.
Contribution
It provides new insights into symplectic Bott-Chern cohomology on solvmanifolds, including cohomology with local system coefficients and related Hodge theory remarks.
Findings
Cohomology computations for solvmanifolds with local systems
Extensions of symplectic Hodge theory insights
Applicability to a broader class of geometric structures
Abstract
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau for solvmanifolds endowed with left-invariant symplectic structures. Our results are applicable to cohomology with values in local systems. Studying symplectic Bott-Chern cohomology of solvmanifolds with values in local systems, we give some remarks on symplectic Hodge theory.
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