## Relatório de pesquisa 18/08

Dynamical Spectral Sequences Over $Z_2$, K. A. de Rezende, and M. R. da Silveira, submitted Sept. 05.

Abstract

In this paper, we consider a sweeping method for a chain complex
$C$ and its differential given by a connection matrix $\Delta$ over
$\mathbb{Z}_2$ which determines an associated spectral sequence

$(E^r,d^r)$. More specifically, a system spanning $E^r$ in terms of the
original basis of $C$ is obtained as well as the identification of all
differentials $d^r$.

Mathematics Subject Classifications
(2000): 55T05; 37B30; 58F09

Keywords: Connection matrix, spectral sequences

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September 05, 2008

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