2011/04/04 by Charalampos Charitos, Charitos, Charalampos, Ioannis Papadoperakis +3
Computer Science · Engineering · Mathematics · #57N10 #57N35 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57N10 #msc:57N35
paper · pdf · doi:10.48550/arxiv.1104.0660
12 pages, 3 figures
arxiv created 2011/04/04 · openalex publication_date 2011/04/04 · arxiv updated 2015/03/18 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
For a genus g handlebody H a simplicial complex, with vertices being isotopy classes of certain incompressible surfaces in H, is constructed and several properties are established. In particular, this complex naturally contains, as a subcomplex, the complex of curves of the boundary surface of H. As in the classical theory, the group of automorphisms of this complex is identified with the mapping class group of the handlebody.