Algebraic and dynamical cancellations associated to spectral sequence

DOI10.1007/s40879-017-0144-6zbMath1374.37027OpenAlexW2612730168MaRDI QIDQ1677186

Mariana R. Da Silveira, Margarida Pinheiro Mello, Ketty Abaroa de Rezendre, Maria Alice Bertolim, Dahisy V. de S. Lima

Publication date: 10 November 2017

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-017-0144-6

zbMATH Keywords

spectral sequenceinteger programmingMorse complexconnection matrix

Mathematics Subject Classification ID

Integer programming (90C10) Index theory for dynamical systems, Morse-Conley indices (37B30) General theory of spectral sequences in algebraic topology (55T05) Morse-Smale systems (37D15)

Related Items (2)

Cancellations for circle-valued Morse functions via spectral sequences ⋮ Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows

Uses Software

• Leibniz

Cites Work

• Conley's spectral sequence via the sweeping algorithm
• Continuation to the minimal number of critical points in gradient flows
• A global two-dimensional version of Smale’s cancellation theorem via spectral sequences
• Continuation and bifurcation associated to the dynamical spectral sequence
• Morse Theory, the Conley Index and Floer Homology
• Spectral sequences in Conley’s theory
• Gradient-like flows on high-dimensional manifolds
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