On the spaces of (d plus dc/-harmonic forms Hermitian manifolds and complex surfaces

被引：0

作者：

Sillari, Lorenzo ^{[1
]}

Tomassini, Adriano ^{[2
]}

机构：

[1] Scuola Int Super Studi Avanzati, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ degli Studi Parma, Dipartimento Sci Matematiche Fis & Informat, Unita Matemat & Informat, Parco Area delle Sci 53-A, I-43124 Parma, Italy

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 06期

关键词：

Aeppli cohomology; almost complex manifolds; almost symplectic manifolds; Bott-Chern cohomology; compact complex surfaces; elliptic operators; harmonic forms; invariants of almost complex structures; solvmanifolds; HODGE THEORY; COHOMOLOGY;

D O I：

10.4171/RMI/1492

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the spaces of (d + dc/-harmonic forms and of (d + d & fnof;/-harmonic forms, a natural generalization of the spaces of Bott-Chern harmonic forms (respectively, symplectic harmonic forms) from complex (respectively, symplectic) manifolds to almost Hermitian manifolds. We apply the same techniques to compact complex surfaces, computing their Bott-Chern and Aeppli numbers and their spaces of (d + d & fnof;/-harmonic forms. We give several applications to compact quotients of Lie groups by a lattice.

引用

页码：2371 / 2398

页数：28

共 37 条

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