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arXiv · 1408.6286

An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence

Maria Alice Bertolim·Dahisy V. S. Lima·Margarida P. Mello·Ketty A. de Rezende·Mariana R. da Silveira
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Abstract

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.

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Maria Alice Bertolim, Dahisy V. S. Lima, Margarida P. Mello, Ketty A. de Rezende, Mariana R. da Silveira. 2014-08-27. An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence. https://arxiv.org/abs/1408.6286

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