Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Intro
Motivation
Forman's combinatorial vector fields (Forman, 1998)
Dynamics of Combinatorial Multivector fields for FTop
Critical multivectors
Essential solutions and invariant sets
Isolated invariant sets and Conley index
Limit sets
Morse equation and Morse inequalities
Persistence of Morse decomposition
Analysis of a parameter space (Juda 2020)
Taught by
Applied Algebraic Topology Network