Twisted basic Dolbeault cohomology on transverse K\"ahler foliations
Seoung Dal Jung
TL;DR
This paper investigates the properties of twisted basic Dolbeault cohomology and the transverse hard Lefschetz theorem on transverse Kähler foliations, establishing duality and harmonic form properties.
Contribution
It introduces new results on twisted basic Dolbeault cohomology and proves a Kodaira-Serre type duality for these cohomology groups.
Findings
Properties of bla_ - harmonic forms established
Proof of transverse hard Lefschetz theorem for foliations
Kodaira-Serre duality for twisted basic Dolbeault cohomology
Abstract
In this paper, we study the twisted basic Dolbeault cohomology and transverse hard Lefschetz theorem on a transverse Kahler foliation. And we give some properties for -harmonic forms and prove the Kodaira-Serre type duality for the twisted basic Dolbeault cohomology.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows