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| Author(s): |
Ewerton Rocha Vieira
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2011-02-28 |
| Examining board members: |
Ketty Abaroa de Rezende;
Oziride Manzoli Neto;
Mariana Rodrigues da Silveira
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| Advisor: | Ketty Abaroa de Rezende |
| Abstract | |
In this work, we study the Morse-Witten Complex via spectral sequences, using the connection matrix over z, which codi_es the connecting orbits of the Morse ow associated to the complex. The Sweeping Method algorithm applied to the connection matrix over z produces a spectral sequence (Er; rd), which in turn gives us important information on the dynamics. Given the need to compute the generators of Z-modules Erp,q and the diferentials drp,q of the spectral sequence, we use the software Sweeping Algorithm, calculates Erp,q and drp,q quickly and efficiently. We present a way to extend the Morse-Witten as [BaC1] and [BaC]. This complex exhibits information between non-consecutive critical points, not obtainable using the Morse-Witten complex. For this extended Morse Complex we also have an associated spectral sequence, whereby dynamical information is also obtained as in [BaC1] and [BaC] (AU) | |
| FAPESP's process: | 09/12337-4 - The study of the Morse-Witten Complex via Spectral Sequences |
| Grantee: | Ewerton Rocha Vieira |
| Support Opportunities: | Scholarships in Brazil - Master |