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Explore the concept of Effective Topological Complexity and its relation to motion planning problems in this lecture from the Applied Algebraic Topology Network. Delve into the impact of symmetries on configuration spaces and the development of equivariant versions of topological complexity. Learn about the Effective Lusternik-Schnirelmann category and investigate properties of both effective TC and cat, including their relationship with orbit projection maps and non-vanishing conditions. Gain insights from joint research by Arturo Espinosa Baro, Zbigniew BÅ‚aszczyk, and Antonio Viruel on reducing complexity in motion planning through symmetry recognition.
