Minimal genus in circle bundles over 3-manifolds

Abstract

An estimate for the genus function in circle bundles over irreducible 3-manifolds is proven. This estimate is in many cases an equality and it relates the minimal genus of the surfaces representing a given homology class with the self-intersection of the class and the Thurston norm of the underlying 3-manifold.

References in corpus (1)

• Mixed 3-manifolds are virtually special

Cited by in corpus (3)

• Topologically flat embedded 2-spheres in specific simply connected 4-manifolds
• The Minimal Genus Problem
• Minimal genus problem for $T^2$-bundles over surfaces