Effective spectral systems relating Serre and Eilenberg–Moore spectral sequences

Miguel, Daniel, Guidolin, Andrea, Romero, Ana and Rubio, Julio (2022) Effective spectral systems relating Serre and Eilenberg–Moore spectral sequences. Journal of Symbolic Computation, 114, 122-148. (doi:10.1016/j.jsc.2022.04.014).

Record type: Article

Abstract

Working in a simplicial and constructive context, a new spectral system is defined that relates Serre and Eilenberg–Moore spectral sequences associated to a principal simplicial fibration. The two Eilenberg–Moore spectral sequences (the one where the homology of the fiber is the output, and the other where the homology of the base is computed) are used in our construction. Explicit computer programs are developed, enhancing the Kenzo computer algebra tool to implement that spectral system.

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e-pub ahead of print date: 22 April 2022

Published date: 2 May 2022

Identifiers

Local EPrints ID: 500359

URI: http://eprints.soton.ac.uk/id/eprint/500359

DOI: doi:10.1016/j.jsc.2022.04.014

ISSN: 0747-7171

PURE UUID: 3407460f-f8de-44d5-9470-5bf219317a84

ORCID for Andrea Guidolin:

orcid.org/0000-0002-7397-475X

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Date deposited: 28 Apr 2025 16:36

Last modified: 22 Aug 2025 02:47

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Contributors

Author: Daniel Miguel

Author: Andrea Guidolin

Author: Ana Romero

Author: Julio Rubio

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