Volume 46_4(2025)_229-246

Orientable 3-orbifolds having Euler number zero Heegaard decomposition and the realizable automorphisms of fundamental groups

Theresa Jeevanjee, John Kalliongi

Abstract. We consider the orientable 3-orbifolds that have Euler number zero Heegaard decomposition consisting of handlebody orbifolds. We determine when two such orbifolds are homeomorphic, compute their fundamental groups and the realizable automorphisms of their fundamental groups. These realizable automorphisms are explicitly defined.

Rend. Mat. Appl. (7) 46 (2025) 229-246; pdf