Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

L. Sillari - A. Tomassini

On the spaces of $(d+d^c)$-harmonic forms and $(d+d^Λ)$-harmonic forms on almost Hermitian manifolds and complex surfaces

created by sillari on 26 Oct 2023



Inserted: 26 oct 2023
Last Updated: 26 oct 2023

Year: 2023

ArXiv: 2310.10304 PDF


We study the spaces of $(d + d^c)$-harmonic forms and $(d + d^\Lambda)$-harmonic forms, the natural generalization of the spaces of Bott-Chern harmonic forms, resp. symplectic harmonic forms from complex, resp. symplectic, manifolds to almost Hermitian manifolds. With the same techniques, we also prove that Bott-Chern and Aeppli numbers of compact complex surfaces depend only on the topology of the underlying manifold, a fact that was well-known for Hodge numbers of compact complex surfaces. We give several applications to compact quotients of Lie groups by a lattice.

Credits | Cookie policy | HTML 5 | CSS 2.1