On the spectral sequence associated to a multicomplex

2018/09/03 by Livernet, Muriel, Whitehouse, Sarah, Ziegenhagen, Stephanie
#18G40 (Primary) 18G35 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1809.00616

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.

Related

• The spectral sequence of a polycomplex
• Higher spectral sequences
• A short proof of Spectral Sequences of Filtered Complexes
• Laplacians on shifted multicomplexes
• Successive Spectral Sequences