# Category:3-manifolds

Computing portal |

Here is a list of articles in the 3-manifolds category of the Computing portal that unifies foundations of mathematics and computations using computers.

Once a small subfield of geometric topology, the theory of **3-manifolds** has experienced tremendous growth in the latter half of the 20th century. The methods used tend to be quite specific to three dimensions, since different phenomena occur for 4-manifolds and higher dimensions.

Category:Knot theory may also be of interest because of the substantial overlap in content.

## Pages in category "3-manifolds"

The following 77 pages are in this category, out of 77 total.

- 3-manifold
*(computing)*

### -

- (−2,3,7) pretzel knot
*(computing)*

### 2

- 2π theorem
*(computing)*

### A

- Algebraic topology (object)
*(computing)* - Analytic torsion
*(computing)* - Arithmetic hyperbolic 3-manifold
*(computing)* - Arithmetic topology
*(computing)* - Atoroidal
*(computing)*

### B

- Berge knot
*(computing)* - Bing's recognition theorem
*(computing)* - Branched surface
*(computing)*

### C

- Clasper (mathematics)
*(computing)* - Compression body
*(computing)* - Cyclic surgery theorem
*(computing)*

### D

- Dehn surgery
*(computing)* - Dehn's lemma
*(computing)*

### E

- Ehrenpreis conjecture
*(computing)* - Ending lamination theorem
*(computing)* - Eventually (mathematics)
*(computing)*

### F

- Figure-eight knot (mathematics)
*(computing)* - Finite type invariant
*(computing)* - Floer homology
*(computing)*

### G

- Geometric topology (object)
*(computing)* - Geometrization conjecture
*(computing)* - The geometry and topology of three-manifolds
*(computing)* - Gieseking manifold
*(computing)* - Gordon–Luecke theorem
*(computing)* - Graph manifold
*(computing)*

### H

- Haken manifold
*(computing)* - Handle decompositions of 3-manifolds
*(computing)* - Heegaard splitting
*(computing)* - Homology sphere
*(computing)* - Horosphere
*(computing)* - Hyperbolic 3-manifold
*(computing)* - Hyperbolic Dehn surgery
*(computing)* - Hyperbolic link
*(computing)* - Hyperbolization theorem
*(computing)*

### I

- I-bundle
*(computing)* - Incompressible surface
*(computing)*

### J

- JSJ decomposition
*(computing)*

### K

- Kleinian group
*(computing)*

### L

- Lens space
*(computing)* - Lickorish–Wallace theorem
*(computing)* - Loop theorem
*(computing)*

### M

- Meyerhoff manifold
*(computing)*

### N

- Normal surface
*(computing)*

### O

- Open book decomposition
*(computing)*

### P

- P2-irreducible manifold
*(computing)* - Picard horn
*(computing)* - Pleated surface
*(computing)* - Poincaré conjecture
*(computing)* - Pretzel link
*(computing)* - Prime decomposition (3-manifold)
*(computing)* - Property P conjecture
*(computing)*

### R

- Ricci flow
*(computing)*

### S

- Scott core theorem
*(computing)* - Seifert fiber space
*(computing)* - Seifert–Weber space
*(computing)* - Smith conjecture
*(computing)* - SnapPea
*(software)* - Solid Klein bottle
*(computing)* - Sphere theorem (3-manifolds)
*(computing)* - Spherical 3-manifold
*(computing)* - Surface bundle over the circle
*(computing)* - Surface subgroup conjecture
*(computing)*

### T

- Tameness theorem
*(computing)* - Taut foliation
*(computing)* - Three-torus
*(computing)* - Thurston elliptization conjecture
*(computing)* - Thurston norm
*(computing)* - Torus bundle
*(computing)* - Trigenus
*(computing)*

### U

- Unknotting problem
*(computing)*

### V

- Virtually fibered conjecture
*(computing)* - Virtually Haken conjecture
*(computing)*

### W

- Weeks manifold
*(computing)* - Whitehead manifold
*(computing)*