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 questions only
not deleted
user 1465
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).
8
votes
0
answers
310
views
Smale's relative h-cobordism theorem
In Smale's On the structure of manifolds paper there is his relative version of the h-cobordism theorem, specifically Theorem 3.1 (and 1.4). Roughly speaking this concerns the situation where one has …
- 44.4k
22
votes
3
answers
1k
views
"Largest" finite-dimensional Lie subgroups of Diff(S^n), are they known?
The group $Diff(S^n)$ ($C^\infty$-smooth diffeomorphisms of the $n$-sphere) has many interesting subgroups. But one question I've never seen explored is what are its "big" finite-dimensional subgroup …
- 44.4k
8
votes
2
answers
427
views
Formulas for vector fields on Grassmannians?
The Wikipedia article on (real) Grassmannians gives a simple argument that the Euler characteristic satisfies a recurrence relation $$\chi G_{n,r} = \chi G_{n-1,r-1} + (-1)^r \chi G_{n-1,r}$$. This i …
- 44.4k
24
votes
0
answers
1k
views
Monoid structure of oriented manifolds with connect sum
Take the class of all compact, connected, boundaryless, smooth oriented $n$-dimensional manifolds, each taken up to orientation-preserving diffeomorphism. This is a commutative monoid with operation …
- 44.4k
12
votes
3
answers
1k
views
Knot theory question: bridge number vs. min generators of fundamental group of complement
Given a knot in the 3-sphere in Bridge Position you can find a presentation for the fundamental group of the complement (a Wirthinger presentation) containing $n$ generators and $n-1$ relators, where …
- 44.4k
11
votes
2
answers
605
views
Some mid-sized ¿hyperbolic? manifolds and SnapPea
I've recently come across some mid-sized 3-manifolds that I think are likely hyperbolic, but SnapPea has some trouble with them. This is related to my previous question
can you fool SnapPea?
but in …
- 44.4k
8
votes
1
answer
196
views
A procedure to determine if an automorphism of a closed 2-manifold extends to an automorphis...
In a paper of Casson and Gordon's "A loop theorem for duality spaces and fibred ribbon knots. Invent. Math. 74 (1983), no. 1, 119–137" they give a necessary criterion for a fibred knot to be a ribbon …
- 44.4k
14
votes
0
answers
500
views
Structure of Gordian graph of knots
The Gordian graph of knots has the knot isotopy classes as it's vertices, and an edge whenever you can pass from one knot to a other via a "finger move", equivalently if for some diagram of the knot y …
- 44.4k
3
votes
0
answers
134
views
Isotopy-classes of oriented Schoenflies spheres in $S^4$ is a group under oriented connect-sum
Given two oriented, smoothly-embedded copies of $S^3$ in $S^4$ (called Schoenflies spheres), one can take an oriented connect-sum of the pairs $(S^4, M_1) \# (S^4, M_2)$. This puts a monoidal structu …
- 44.4k
6
votes
4
answers
1k
views
Generating ribbon diagrams for knots known to be ribbon knots
Is there a source in the literature for ribbon diagrams for the knot-table knots known to be ribbon knots?
For example, I'm interested in doing a computation which needs as input a ribbon diagram for …
- 44.4k
7
votes
1
answer
399
views
High dimensional generalized Poincare hypothesis without the h-cobordism theorem?
The generalized PL Poincare hypothesis states that in dimension $n$ there is a unique PL manifold that has the homotopy-type of $S^n$. It's known to be true in all dimensions except perhaps $n=4$.
…
- 44.4k
5
votes
3
answers
234
views
First usage of the terms pseudo-isotopy and concordance in manifold theory
I am hoping I can use the collective knowledge of the forum to piece together some history. I'm wondering where the terms pseudo-isotopy and concordance originated, in their modern forms as used in ma …
- 44.4k
8
votes
0
answers
175
views
Naive Reidemeister-Schreier for $\mathbb Z$ quotients
I have a question about a "standard" variant of the Reidemeister-Schreier algorithm used by topologists when manipulating manifolds they either know or suspect are fibre-bundles over $S^1$.
Say you …
- 44.4k
8
votes
2
answers
1k
views
A problem/conjecture related to 4-manifolds that deserves a name. What name does it deserve?
There's an old problem in 4-manifold theory that, as far as I know, doesn't have a name associated with it and really deserves a name.
Let $M$ be a smooth 4-manifold with boundary. Let $S$ be a sm …
- 44.4k
11
votes
2
answers
2k
views
slice-ribbon for links (surely it's wrong)
The slice-ribbon conjecture asserts that all slice knots are ribbon.
This assumes the context:
1) A `knot' is a smooth embedding $S^1 \to S^3$. We're thinking of the 3-sphere as the boundary of …
- 44.4k