Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds and $d'd'$-lemma
Autor: | Chen, Tai-Wei, Ho, Chung-I, Teh, Jyh-Haur |
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Rok vydání: | 2013 |
Předmět: | |
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 |
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