Almost Kähler Kodaira-Spencer problem

2020/10/23 by Holt, Tom, Zhang, Weiyi
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.12545

Abstract

We show that the almost complex Hodge number h^0,1 varies with different choices of almost Kähler metrics. This answers the almost Kähler version of a question of Kodaira and Spencer.

Related

• Almost complex Hodge theory
• On the Kodaira-Spencer's problem on almost Hermitian 4-manifolds
• Hodge theoretic results for nearly Kähler manifolds in all dimensions
• Compatible almost complex structures on the Hard Lefschetz condition
• Remarks on the extension of twisted Hodge metrics