A dinamica por tras da sequencia espectral / The dynamic behind the spectral sequence
AUTOR(ES)
Mariana Rodrigues da Silveira
DATA DE PUBLICAÇÃO
2008
RESUMO
In this work, we present an algorithm for a chain complex C and its di_erential given by a connection matrix which determines an associated spectral sequence (Er, dr). More specifically, a system spanning Er in terms of the original basis of C is obtained as well as the identi_cation of all di_erentials dr p : Er p ! Er p?r. In exploring the dynamical implication of a nonzero di_erential, we prove the existence of a path joining the singularities generating E0 p and E0 p?r in the case that a direct connection by a ow line does not exist. This path is made up of juxtaposed orbits of the ow and of the reverse ow and which proves to be importantin some applications
ASSUNTO(S)
morse theory topologia algebrica dynamical systems spectral sequences (mathematics) morse sistemas dinamicos sequencias espectrais (matematica) algebraic topology teoria de
