Effective topological complexity of spaces with symmetries


We introduce a version of Farber’s topological complexity suitable for investigating mechanical systems whose configuration spaces exhibit symmetries. Our invariant has vastly different properties to the previous approaches of Colman-Grant, Dranishnikov and Lubawski-Marzantowicz. In particular, it is bounded from above by Farber’s topological complexity.

Publicacions Matemàtiques Volume 62, Issue 1 (2018), p. 55-74
Marek Kaluba

My research interests include computational algebra, geometric group theory (in particular: property (T)) and (previously) surgery aspects of manifolds.