Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds and $d'd'$-lemma

Autor:	Chen, Tai-Wei, Ho, Chung-I, Teh, Jyh-Haur
Rok vydání:	2013
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	We define Aeppli and Bott-Chern cohomology for bi-generalized complex manifolds and show that they are finite dimensional for compact bi-generalized Hermitian manifolds. For totally bounded double complexes $(A, d', d'')$, we show that the validity of $d'd''$-lemma is equivalent to having the same dimension of several cohomology groups. Some calculations of Bott-Chern cohomology groups of some bi-generalized Hermitian manifolds are given. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.4667 Zobrazit plný text záznamu View this record from Arxiv