Published Paper
Inserted: 8 nov 2016
Last Updated: 17 nov 2017
Journal: J. Symplectic Geom.
Volume: 12
Number: 2
Pages: 215-236
Year: 2014
Doi: 10.4310/JSG.2014.v12.n2.a1
Abstract:
Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology. In particular, this holds always true for the second de Rham cohomology group, or if the symplectic manifold satisfies the Hard Lefschetz Condition.
Tags:
FIRB2012-DGGFT