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Symplectic Bott-Chern cohomology of solvmanifolds · arXivDesk

1308.4258Aug 20, 2013(Table 3 has been corrected.)

Symplectic Bott-Chern cohomology of solvmanifolds

Daniele Angella, Hisashi Kasuya

Symplectic Geometry Differential Geometry

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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