English

On the spectral sequence associated to a multicomplex

Algebraic Topology 2019-04-19 v2 K-Theory and Homology

Abstract

A multicomplex, also known as a twisted chain complex, has an associated spectral sequence via a filtration of its total complex. We give explicit formulas for all the differentials in this spectral sequence.

Keywords

Cite

@article{arxiv.1809.00616,
  title  = {On the spectral sequence associated to a multicomplex},
  author = {Muriel Livernet and Sarah Whitehouse and Stephanie Ziegenhagen},
  journal= {arXiv preprint arXiv:1809.00616},
  year   = {2019}
}

Comments

8 pages. Exposition improved. To appear in The Journal of Pure and Applied Algebra

R2 v1 2026-06-23T03:52:50.682Z