$E_1$-degeneration and $d'd''$-lemma
Algebraic Topology
2016-02-16 v2
Abstract
For a double complex , we show that if it satisfies the -lemma and the spectral sequence induced by does not degenerate at , then it degenerates at . We apply this result to prove the degeneration at of a Hodge-de Rham spectral sequence on compact bi-generalized Hermitian manifolds that satisfy a version of -lemma.
Cite
@article{arxiv.1506.06451,
title = {$E_1$-degeneration and $d'd''$-lemma},
author = {Tai-Wei Chen and Chung-I Ho and Jyh-Haur Teh},
journal= {arXiv preprint arXiv:1506.06451},
year = {2016}
}