Original Article
Kyungpook Mathematical Journal 2006; 46(3): 399-408
Published online September 23, 2006
Copyright © Kyungpook Mathematical Journal.
The Action of the Handlebody Group on the First Homology Group of the Surface
Susumu Hirose
Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan
The action of mapping class groups of a handlebody on the first homology group is investigated. A homological analogy of mapping class groups of a handlebody is defined and its system of generators is given.
Keywords: mapping class group, 3-dimensional handlebody, symplectic group