2013/11/19 by Tai-Wei Chen, Chen, Tai-Wei, Chung-I Ho +3
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AT #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.1311.4667
15 pages
arxiv created 2015/01/21 · arxiv updated 2015/01/22
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.