3 papers
math.SG2024
Conformally symplectic structures and the Lefschetz condition
Mehdi Lejmi, Scott O. Wilson
This short note provides a symplectic analogue of Vaisman's theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degr…
math.AT2024
Homotopy BV-algebras in Hermitian geometry
Joana Cirici, Scott O. Wilson
We show that the de Rham complex of any almost Hermitian manifold carries a natural commutative -algebra structure satisfying the degeneration property. In the almost Kä…
math.DG2022
A ddc-type condition beyond the Kähler realm
Jonas Stelzig, Scott O. Wilson
This paper introduces a generalization of the ddc-condition for complex manifolds. Like the dd^c-condition, it admits a diverse collection of characterizations, and is hereditary u…