A complex of incompressible surfaces for handlebodies and the mapping class group

作者:Charitos Charalampos; Papadoperakis Ioannis; Tsapogas Georgios*
来源:Monatshefte fur Mathematik, 2012, 167(3-4): 405-415.
DOI:10.1007/s00605-012-0379-8

摘要

For a genus g handlebody H (g) a simplicial complex, with vertices being isotopy classes of certain incompressible surfaces in H (g) , is constructed and several properties are established. In particular, this complex naturally contains, as a subcomplex, the complex of curves of the surface . As in the classical theory, the group of automorphisms of this complex is identified with the mapping class group of the handlebody.

  • 出版日期2012-9