2008/01/31 by Honglin Min · 1 citation
Engineering · Mathematics · #Advanced Materials and Mechanics #Coxeter graph #Fundamental group #Geometric and Algebraic Topology #Graph #Line graph #Mathematical Dynamics and Fractals #Surface (topology) #Symmetric graph #Voltage graph #math.GR #msc:20F65 #msc:20F67
paper · pdf · doi:10.2140/agt.2011.11.449
published as Algebr. Geom. Topol. 11 (2011) 449-476 · 52 pages, 7 figures, thesis draft
arxiv created 2009/08/14 · openalex publication_date 2011/01/25 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give a sufficient condition for the fundamental group of a reglued graph of surfaces to be hyperbolic. A reglued graph of surfaces is constructed by cutting a fixed graph of surfaces along the edge surfaces, then regluing by pseudo-Anosov homeomorphisms of the edge surfaces. By carefully choosing the regluing homeomorphism, we construct an example of such a reglued graph of surfaces, whose fundamental group is not abstractly commensurable to any surface-by-free group, ie which is different from all the examples given by Mosher [10]. 20F67, 20F65; 57M07, 20F28