In this article we study algorithms that arise in both topological and dynamical settings, namely, the Spectral Sequence Sweeping Algorithm (SSSA) and the Row Cancellation Algorithm (RCA) for a filtered Morse chain complex on a manifold M. Both algorithms have as input a connection matrix and the results obtained in this article make it possible to establish a correspondence between the algebraic cancellations in SSSA and the dynamical cancellations in RCA.
Cite
@article{arxiv.1408.6286,
title = {An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence},
author = {Maria Alice Bertolim and Dahisy V. S. Lima and Margarida P. Mello and Ketty A. de Rezende and Mariana R. da Silveira},
journal= {arXiv preprint arXiv:1408.6286},
year = {2014}
}