Separability of embedded surfaces in 3-manifolds

Abstract

We prove that if S is a properly embedded incompressible surface in a compact 3-manifold M, then the fundamental group of S is separable in the fundamental group of M.

8 pages

References in corpus (1)

• Graph manifolds with boundary are virtually special

Cited by in corpus (6)

• Chern--Simons theory, surface separability, and volumes of 3-manifolds
• Distortion of surfaces in 3-manifolds
• A characterization on separable subgroups of 3-manifold groups
• NonLERFness of arithmetic hyperbolic manifold groups and mixed 3-manifold groups
• Positive simplicial volume implies virtually positive Seifert volume for $3$-manifolds
• Distortion of surfaces in graph manifolds