# Questions tagged [gt.geometric-topology]

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).

**3**

**1**answer

### Thurston universe gates in knots: which invariant is it?

**3**

**1**answer

### Surface separating the boundary of a cylinder

**1**

**1**answer

### Compatibility of two cylindrical regions

**2**

**2**answers

### Embedded submanifold in a cylinder

**1**

**0**answers

### Smooth Schoenflies Theorem for compact $3$-manifolds

**1**

**1**answer

### Surface in a product domain

**6**

**1**answer

### 3-dimensional h-cobordisms

**4**

**1**answer

### Mapping class groups of Haken Seifert 3-manifolds (not small)

**5**

**0**answers

### Computation of partial configuration spaces ala Cohen

**4**

**0**answers

### What field of mathematics is this? Necessary and sufficient corridors for topological routing

**4**

**1**answer

### Concordance classes of diffeomorphisms of $D^4$

**3**

**1**answer

### Cluster algebras of type A and X

**3**

**0**answers

### Commutator length of the fundamental group of some grope

**1**

**0**answers

### Open cone homeomorphic to the Euclidean space

**17**

**2**answers

### Suspension of a topological space

**23**

**2**answers

### Which homotopy classes $S^3 \to S^2$ lift to embeddings $S^3 \to S^2 \times D^3$?

**4**

**1**answer

### Realizing groups as the fundamental group of graphs of groups allowing non-injective maps?

**11**

**6**answers

### Books in advanced differential topology

**4**

**1**answer

### Can every manifold be represented as a quotient

**5**

**1**answer

### Composite knots and their braid words

**1**

**0**answers

### Do different decompositions of Dehn twists induce the same cobordisms between mapping tori?

**2**

**1**answer

### Hyperbolization with word-hyperbolic fundamental group

**4**

**0**answers

### Compactly supported geometric representatives for Seiberg-Witten invariant

**8**

**1**answer

### Characterizations of metric trees

**9**

**2**answers

### Presentations of mapping class groups in dimension $3$

**3**

**0**answers

### When is the dual block decompositition a CW decomposition?

**3**

**0**answers

### Mapping class group of a twisted I-bundle over $RP^2$

**1**

**1**answer

### Approximate Jordan-Brouwer theorem (corrected)

**2**

**1**answer

### Approximate Jordan-Brouwer theorem

**1**

**0**answers

### What do you call this notion of similarity between subsets of a metric space?

**4**

**1**answer

### Functoriality of Thurston's norm

**8**

**2**answers

### PL-embeddings of balls into PL-manifolds

**3**

**0**answers

### Logarithm on formal power series continuous?

**3**

**1**answer

### Does an amphichiral knot admit roughly twice as many knot diagrams of a given crossing than a chiral knot?

**4**

**0**answers

### Is finding boundary-reducing discs for PL 3-manifolds with boundary pattern computationally efficient?

**1**

**1**answer

### Is there a combinatorial way to determine the coefficients of the universal finite-type invariant on a given knot?

**3**

**0**answers

### Restrictions on pointed lifts of isometries

**10**

**0**answers

### Exotic analytic triangulations of $S^5$?

**1**

**0**answers

### Ideal Ford domain (for finite index subgroup)

**3**

**0**answers

### Ping pong with parabolic isometries on Gromov hyperbolic spaces

**10**

**0**answers

### Topological dimension, Hausdorff dimension, and Lipschitz mappings

**5**

**1**answer

### $\pi_{2n-1}(\operatorname{SO}(2n))$ element represents the tangent bundle $TS^{2n}$, not torsion and indivisible for $n>1$?

**2**

**0**answers

### The Kirby diagram of a manifold glued along the lens space $L(p,1)$

**1**

**1**answer

### Partitioning a convex $n$-polygon

**7**

**2**answers

### Index of the mapping class group $\Gamma_{g,n}$ inside $\text{Out}(\Pi_{g,n})$

**1**

**1**answer

### Action of the permutation group on the set of topologies on a continuum

**18**

**2**answers

### Which knots appear as the singular locus of a polyhedral metric on the 3-sphere?

**1**

**0**answers

### Given a homeomorphism on $\mathbb{R}^3$, can its effects on a compact subset be realized by a homeomorphism that's non-identity only on a compact set?

**2**

**0**answers

### Existence of a certain Morse function

**8**

**2**answers