Problems around 3-manifolds

Abstract

This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4-manifolds, contact structures and Heegaard splittings, singular incompressible surfaces after the Hamilton-Perelman revolution.

This is the version published by Geometry & Topology Monographs on 3 December 2007

References in corpus (5)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Ideal triangulations of 3-manifolds II: taut and angle structures
• Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure
• 3-manifolds built from injective handlebodies
• Big Handlebody Distance Implies Finite Mapping Class Group

Cited by in corpus (4)

• Complex length of short curves and Minimal Fibration in hyperbolic $3$-Manifolds fibering over the circle
• Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds
• Entanglement Spectrum Resolved by Loop Symmetries
• Closed Minimal Surfaces in Cusped Hyperbolic Three-manifolds