Symplectic Bott-Chern cohomology of solvmanifolds
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- 10.48550/arXiv.1308.4258
- arXiv:
- arXiv:1308.4258
- Bibcode:
- 2013arXiv1308.4258A
- Keywords:
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- Mathematics - Symplectic Geometry;
- Mathematics - Differential Geometry;
- 22E25;
- 53C30;
- 57T15;
- 53C55;
- 53D05
- E-Print:
- (Table 3 has been corrected.)