The Second Bounded Cohomology of 3-manifolds

  • Koji Fujiwara

    Kyoto University, Japan
  • Ken’ichi Ohshika

    Osaka University Graduate School of Science, Japan


Let G be the fundamental group of a compact, orientable 3-manifold M. We show that if each piece of the canonical decomposition of M has a geometric structure (e.g. when G contains ℤ2), then either G has infinite dimensional second bounded cohomology or G is virtually solvable.

Cite this article

Koji Fujiwara, Ken’ichi Ohshika, The Second Bounded Cohomology of 3-manifolds. Publ. Res. Inst. Math. Sci. 38 (2002), no. 2, pp. 347–354

DOI 10.2977/PRIMS/1145476341