中文

$E_1$退化与$d'd''$-引理

代数拓扑 2016-02-16 v2

摘要

对于一个双复形(A,d,d)(A, d', d''),我们证明若其满足ddd'd''-引理且由AA诱导的谱序列{Erp,q}\{E^{p, q}_r\}不在E0E_0退化,则其在E1E_1退化。我们应用该结果证明了在满足某种ddd'd''-引理的紧双广义Hermitian流形上,Hodge-de Rham谱序列在E1E_1退化。

关键词

引用

@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}
}