• Corpus ID: 246210357

Homotopic rotation sets for higher genus surfaces

  title={Homotopic rotation sets for higher genus surfaces},
  author={Pierre-Antoine Guih'eneuf and Emmanuel Militon},
This paper states a definition of homotopic rotation set for higher genus surface homeomorphisms, as well as a collection of results that justify this definition. We first prove elementary results: we prove that this rotation set is star-shaped, we discuss the realisation of rotation vectors by orbits or periodic orbits and we prove the creation of new rotation vectors for some configurations.Then we use the theory developped by Le Calvez and Tal in [LCT18a] to obtain two deeper results:-- If…