Torus homeomorphisms and the fine curve graph
Appears in collection : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de Difféomorphisme
In this joint work with Sebastian Hensel, we continue the work of Bowden Hensel-Mann-Militon-Webb relating the rotation set of a torus homeomorphism to the action on the fine curve graph. We show in particular that the shape of a ""big"" rotation set is determined by the fixed points on the Gromov boundary of the graph.
 
     
	
                 
                 
	
                 
	
                 
	
               
	
               
	
               
	
               
	
               
	
               
	
               
	
           
                       
	
           
	
           
	
           
	
           
      
    