Problems around 3-manifolds. (English) Zbl 1139.57019

Rubinstein, J. H.

Gordon, Cameron (ed.) et al., Proceedings of the Technion workshop on Heegaard splittings, Haifa, Israel, summer 2005. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 12, 285-298 (2007).

Summary: 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.
For the entire collection see [Zbl 1133.57002].

MSC:

57M50	General geometric structures on low-dimensional manifolds
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C44	Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
57N13	Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
57R17	Symplectic and contact topology in high or arbitrary dimension
57N10	Topology of general \(3\)-manifolds (MSC2010)

Keywords:

minimal surface; hyperbolic 3-manifold; Ricci flow; combinatorial geometric structure; Haken 4-manifold; contact structure; Heegaard splitting; singular incompressible surface