An Algorithmic Approach to Algebraic and Dynamical Cancellations   associated to a Spectral Sequence
  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. 
Maria Alice Bertolim, Dahisy V. S. Lima, Margarida P. Mello, Ketty A.   de Rezende, Mariana R. da Silveira
math.DS