Integration of vector fields on cell complexes and Morse theory

DOI10.1016/j.jmaa.2022.126982OpenAlexW3197324863MaRDI QIDQ2685245

Takeo Nishinou

Publication date: 20 February 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03717

zbMATH Keywords

discrete Morse theorysingularities of vector fieldstopological structure of integral curves

Mathematics Subject Classification ID

Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Ascending and descending regions of a discrete Morse function
• On topological and piecewise linear vector fields
• Combinatorial vector fields and dynamical systems
• Morse theory and finiteness properties of groups
• Morse theory for cell complexes
• Creating semiflows on simplicial complexes from combinatorial vector fields
• Morse Theory. (AM-51)
• Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields
• Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes