Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with 3-manifolds
Search options not deleted
user 428
A three-manifold is a space that locally looks like Euclidean three-dimensional space
5
votes
Accepted
Do Heegaard Floer homology detect fibred knot in general oriented 3-manifold?
This is known for any knot in a closed, oriented 3-manifold whose complement is irreducible. Ni proved this in Knot Floer homology detects fibred knots, building on Ghiggini's proof in the genus 1 ca …
- 6,589
8
votes
Accepted
Hyperbolic Dehn surgeries and SU(2)-representations
All Dehn surgeries on the figure eight knot $K$ admit irreducible $SU(2)$ representations. This can be proved using Corollary 4.8 of my paper with John Baldwin, "Stein fillings and $SU(2)$ representa …
- 6,589
13
votes
Accepted
$0$-surgeries on trefoil and figure-eight
If you're happy bringing in heavy machinery then you could compute some sort of Floer homology, like the 'hat' version of Heegaard Floer homology: this has rank 2 for $S^3_0(3_1)$ and rank 4 for $S^3_ …
- 6,589
9
votes
Flat SU(2) bundles over hyperbolic 3-manifolds
The figure eight knot is hyperbolic, so by Thurston all but finitely many 1/n-surgeries on it yield hyperbolic homology spheres. The Casson invariant of the 1/n surgery is (n/2)Δ''(1), where Δ(t) = - …
- 6,589
8
votes
Property P and R for general 3-manifolds
The generalized Property R conjecture stated above is known for nullhomologous knots $K$ in a rational homology 3-sphere $Y$. The only surgery that can produce $Y \# (S^1\times S^2)$ is the zero-surg …
- 6,589
5
votes
Covering of a knot complement
Gonzalez-Acuña and Whitten answered this question for coverings by knot exteriors, as opposed to link exteriors more generally, in chapter 3 of "Imbeddings of three-manifold groups". They prove that …
- 6,589