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arXiv 1408.6286math.DS
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与谱序列相关的代数和动力学相消的数学方法

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

摘要:

在这篇文章中,我们研究的算法,出现在拓扑和动力学设置,即谱序列扫描算法(SSSA)和行取消算法(RCA)的过滤Morse链复形上的流形M。这两种算法都有作为输入的连接矩阵和本文中得到的结果使得有可能建立SSSA的代数取消和RCA的动态取消之间的对应关系。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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