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 gt.geometric-topology
Search options not deleted
user 36108
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
5
votes
Embedded ribbons and regular isotopy
A diagram is drawn in the plane. Restrict to knots (not links). Orient the curve, & associate to each crossing a (+/-) via a Right hand rule: palm along over-crossing with pinky pointing towards orien …
- 5,264
3
votes
Visualising locally flat embeddings of surfaces in R^4
I have been thinking about this as well. My approach would be to construct a broken surface diagram or chart of an immersed disk that a classical knot bounds. For simplicity take the untwisted double …
- 5,264
3
votes
Accepted
Is there a combinatorial version of PL ambient isotopy in dimension $>3$?
Unfortunately, this is not quite an answer. So for knotted surfaces in 4-space, there is Roseman's Theorem. I think that the context of Dennis's proof is in the smooth category. Or certainly the proof …
- 5,264
6
votes
2
answers
359
views
Knotted projective planes and fake complex projective space
Paul Melvin gave a talk at Knots in Washington last year in which he asked whether the connected sum of an odd twist-spin of a classical knot and a standard cross-cap embedding of ${\mathbb R}P^2$ is …
- 5,264
2
votes
4D TQFT from a modular tensor category
Originally, the idea of a 4D TQFT was to be found in a Hopf Category as defined by Crane and Igor Frenkel. Crane and Yetter gave an example via certain cocycles over a finite group. Kauffman, Saito, a …
- 5,264
7
votes
0
answers
319
views
What is the historical connection between Zeeman's twist spinning and Fox's Examples?
Both Ralph Fox and (at that time, yet to be knighted) Sir Christopher Zeeman attended the 1961 Georgia topology conference. Fox's paper from that conference was his seminal work, "A Quick Trip through …
- 5,264
0
votes
Accepted
Branched Coverings of the $4$-sphere branched along a knotted surface
Anton's comments above answer the question.
- 5,264
3
votes
Accepted
Application of a quandle cocycle invariant for virtual knots
To find the answer to your question, I would look through papers of Sam Nelson and his students, all of which are available on the arXiv. It is true that most of his work has to do with using quandles …
- 5,264
8
votes
Surface Eversions: Generalizing from Sphere and Torus Eversions
My answers should be comments, but I am, unfortunately, more verbose. For a single handle, consider making the double cover of a Klein bottle as follows. Take an immersed Mobius band which is half the …
- 5,264
14
votes
3
answers
605
views
Which closed orientable $4$-dimensional manifolds cannot be embedded in $6$-space?
This question is a follow-up to my previous question . The statement of the question is the title.
Note that the $4$-dimensional real projective space is non-orientable and a characteristic class a …
- 5,264
4
votes
1
answer
374
views
Branched Coverings of the $4$-sphere branched along a knotted surface
This question is related to, but apparently not exactly the same as, Ramified cover of the $4$-sphere. Piergallini, et al. have singular points on their branch loci.
Which closed orientable $4$-dim …
- 5,264
5
votes
Accepted
Knots and their Morse functions
The answer to your question is a qualified, yes. The full reference is this article by Cooper, Mond and Wit Atique. In it they describe complex multi-germs of functions. This singularity theory is a …
- 5,264
6
votes
Accepted
3-manifold theorem reference request or proof
I think the reference that you are looking for is this article by Cannon, Floyd, and Parry.
- 5,264
5
votes
2-tangles and quantum groups and 2-groups
There are many more details that are needed in Eitan's answer. Since weak 2-groups are determined by group 3-cocycles, one would think that group cocycle conditions are related to 2-knots. They are, b …
- 5,264
8
votes
Accepted
Explicit embeddings of Cappell-Shaneson knots
There is a paper by Iain Aitcheson (possible mis-spelling of the last name) and Hyam Rubenstein published in a Contemporary Mathematics Series of the AMS (Conference Proceedings) that is the most expl …
- 5,264