In mathematics, geometric topology is the study of manifolds and their embeddings, with representative topics being knot theory and braid groups. It has come over time to be almost synonymous with low-dimensional topology, concerning in particular objects of three or four dimensions.

For more information, please see the main article about Geometric topology.

Subcategories

There are 2 subcategories to this category.

3

• 3-manifolds

K

• Knot theory

Articles in category "Geometric topology"

There are 37 articles in this category.

List of geometric topology topics 3 3-manifold 3-sphere 4 4-manifold B Barycentric subdivision Borromean rings Boundary parallel Boy's surface C Codimension Conifold D Dehn twist F Fundamental polygon

G Genus (mathematics) Geometric topology Geometrization conjecture H Handle (mathematics) Handle decomposition Handlebody Hsiang-Lawson's conjecture J Jordan-Schönflies theorem K Kirby calculus Klein bottle Knot theory M Manifold Manifold decomposition

M cont. Mapping class group P Piecewise linear Poincaré conjecture R Real projective plane S Seifert fiber space Seifert surface Signature (topology) Surface Surface bundle T Torus bundle Triangulation (topology) W Whitehead manifold