# Category:Geometric topology

Here is a list of articles in the Geometric topology category of the Computing portal that unifies foundations of mathematics and computations using computers.

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.

## Subcategories

This category has the following 7 subcategories, out of 7 total.

### 3

### 4

### B

### K

### M

### S

## Pages in category "Geometric topology"

The following 127 pages are in this category, out of 127 total.

- Geometric topology
*(computing)* - Glossary of topology
*(computing)* - List of geometric topology topics
*(computing)*

### 2

- 2-sided
*(computing)*

### 3

- 3-manifold
*(computing)* - 3-sphere
*(computing)*

### 4

- 4-manifold
*(computing)*

### 5

- 5-manifold
*(computing)*

### A

- Acylindrically hyperbolic group
*(computing)* - Alexander horned sphere
*(computing)* - Alexander's trick
*(computing)* - Annulus theorem
*(computing)*

### B

- Barycentric subdivision
*(computing)* - Bing shrinking
*(computing)* - Bing's recognition theorem
*(computing)* - Blaschke selection theorem
*(computing)* - Borel conjecture
*(computing)* - Borromean rings
*(computing)* - Boundary parallel
*(computing)* - Boy's surface
*(computing)* - Branched surface
*(computing)*

### C

- Cannon–Thurston map
*(computing)* - Casson handle
*(computing)* - Casson invariant
*(computing)* - Cellular decomposition
*(computing)* - Clasper (mathematics)
*(computing)* - Clifford torus
*(computing)* - Closed manifold
*(computing)* - Clutching construction
*(computing)* - Codimension
*(computing)* - Connected sum
*(computing)* - Convergence group
*(computing)* - Crumpled cube
*(computing)* - Cyclic surgery theorem
*(computing)*

### D

- De Rham invariant
*(computing)* - DE-9IM
*(computing)* - Dehn function
*(computing)* - Dehn twist
*(computing)* - Dogbone space
*(computing)* - Donaldson theory
*(computing)* - Double suspension theorem
*(computing)*

### E

- E8 manifold
*(computing)*

### F

- Fake 4-ball
*(computing)* - Free factor complex
*(computing)* - Fully irreducible automorphism
*(computing)* - Fundamental polygon
*(computing)*

### G

- Generalized Poincaré conjecture
*(computing)* - Genus (mathematics)
*(computing)* - Genus-three surface
*(computing)* - Geometrization conjecture
*(computing)* - Gieseking manifold
*(computing)* - Grushko theorem
*(computing)*

### H

- Hadamard space
*(computing)* - Handle decomposition
*(computing)* - Handlebody
*(computing)* - Hauptvermutung
*(computing)* - Heegaard splitting
*(computing)* - Hopf fibration
*(computing)* - Hsiang–Lawson's conjecture
*(computing)*

### I

- I-bundle
*(computing)* - Intersection form (4-manifold)
*(computing)* - Introduction to 3-Manifolds
*(computing)*

### K

- Kirby calculus
*(computing)* - Kirby–Siebenmann class
*(computing)* - Klein bottle
*(computing)*

### L

- L-theory
*(computing)* - Lantern relation
*(computing)* - Line of greatest slope
*(computing)* - Local flatness
*(computing)* - Loop theorem
*(computing)* - Low-dimensional topology
*(computing)*

### M

- Manifold decomposition
*(computing)* - Mapping class group
*(computing)* - Mapping class group of a surface
*(computing)* - Mapping torus
*(computing)* - McShane's identity
*(computing)* - Microbundle
*(computing)* - Milnor conjecture (topology)
*(computing)* - Milnor–Wood inequality
*(computing)* - Moise's theorem
*(computing)*

### N

- Nielsen realization problem
*(computing)* - Nielsen–Thurston classification
*(computing)* - Novikov conjecture
*(computing)*

### O

- Orientation character
*(computing)* - Outer space (mathematics)
*(computing)*

### P

- Pachner moves
*(computing)* - PDIFF
*(computing)* - Piecewise linear manifold
*(computing)* - Poincaré conjecture
*(computing)* - Pseudo-Anosov map
*(computing)*

### R

- Real projective plane
*(computing)* - Relative dimension
*(computing)* - Rokhlin's theorem
*(computing)* - Ropelength
*(computing)* - Round function
*(computing)*

### S

- Schoenflies problem
*(computing)* - Seifert fiber space
*(computing)* - Seifert surface
*(computing)* - Semi-s-cobordism
*(computing)* - Side-approximation theorem
*(computing)* - Signature (topology)
*(computing)* - Slam-dunk
*(computing)* - Sphere theorem (3-manifolds)
*(computing)* - Spherical 3-manifold
*(computing)* - Spherical space form conjecture
*(computing)* - Steenrod problem
*(computing)* - String topology
*(computing)* - Surface (topology)
*(computing)* - Surface bundle
*(computing)* - Surgery structure set
*(computing)* - Symplectic filling
*(computing)*

### T

- Three-torus
*(computing)* - Thurston boundary
*(computing)* - Torus bundle
*(computing)* - Train track map
*(computing)* - Triangulation (topology)
*(computing)* - Trigenus
*(computing)* - Tubular neighborhood
*(computing)*

### U

- Unknotting problem
*(computing)*

### W

- Wall's finiteness obstruction
*(computing)* - Whitehead link
*(computing)* - Whitehead manifold
*(computing)* - Whitehead torsion
*(computing)* - Whitney disk
*(computing)* - Wild arc
*(computing)*

### Y

- Y-homeomorphism
*(computing)*

### Z

- Zeeman conjecture
*(computing)*