Orientable closed 3-manifolds with surface-complexity one

Abstract

After a short summary of known results on surface-complexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.

9 pages, 3 figures, 1 table; minor changes: appendix on a theorem stated in arXiv:0804.0695 added

References in corpus (2)

• A 3-manifold complexity via immersed surfaces
• Invariants of Closed 3-Manifolds via Nullhomotopic Filling Dehn Spheres

Cited by in corpus (1)

• A complexity of compact 3-manifold via immersed surfaces