Symplectic Bott-Chern cohomology of solvmanifolds

Published 20 Aug 2013 in math.SG and math.DG | (1308.4258v2)

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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