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 20516
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).
2
votes
Syzygies in Steinberg module of genus 2 mapping class group $\mathrm{MCG}(\Sigma_2)$
I recently returned to this question, and have found a formal solution to Closing the Steinberg symbol in genus two using Mark C. Bell's wonderful curver program.
In low genus it was expected that an …
- 2,274
4
votes
3
answers
570
views
Mechanisms generating free subgroups of Artin braid groups
Within my limited experience, I have only known free groups to occur through two mechanisms: as fundamental groups of trees (graphs) and ping-pong. And sometimes only through one way: the fact that su …
- 2,274
7
votes
1
answer
198
views
Syzygies in Steinberg module of genus 2 mapping class group $\mathrm{MCG}(\Sigma_2)$
$\DeclareMathOperator\MCG{MCG}$Consider the mapping class group $\MCG(\Sigma_2)$ of the closed genus 2 oriented surface $\Sigma_2$. The algebraic-duality theory of $\MCG_2:=\MCG(\Sigma_2)$ is explicit …
- 2,274
3
votes
0
answers
85
views
Representing Outer Automorphisms by Outer Matrix Conjugation for MCG?
Let $S$ be closed hyperbolic surface. The Dehn-Neilson theorem $\Gamma \approx Out(\pi_1)$ identifies the mapping class group of $S$ with the outer automorphism group of the surface group $\pi_1=\pi_1 …
- 2,274
2
votes
1
answer
332
views
density of lagrangian grassmannian in usual grassmannian.
Consider the canonical symplectic structure $(\omega, J)$ on $\mathbb{R}^{2n}$.
(i) What can be said about the density of the lagrangian grassmannian $L$ (i.e. those rank $n$ totally isotropic linear …
- 2,274
2
votes
1
answer
216
views
Is action of MCG on the curve complex computable for closed surfaces? [Yes: Birman Exact Seq...
$\DeclareMathOperator\MCG{MCG}$Let $\Gamma=\MCG(S_{g, 0,0 })$ be mapping class group of closed hyperbolic surfaces. Let $V=C^0(S)$ be the set of vertices of the simplicial curve complex. We are studyi …
- 2,274
6
votes
3
answers
881
views
Reference request: embedded Morse theory
For references of embedded Morse theory, or so-called relative morse theory of a pair, I have found R.W. Sharpe's "Total Absolute Curvature and Embedded Morse numbers" totally not helpful. For further …
- 2,274
2
votes
Fundamental groups of noncompact surfaces
A new approach to spines is available via mass transport theory and Kantorovich duality. This is developed in my PhD thesis.
The idea is elementary: consider the retract $x\mapsto x/|x|$ from the cl …
- 2,274