# 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).

**14**

**0**answers

### Hauptvermutung for non-manifolds

**9**

**0**answers

### Finite quotients of surface braid groups

**9**

**2**answers

### A plausible hyperbolic link

**3**

**1**answer

### survey paper on the construction of hyperbolic manifolds

**7**

**1**answer

### Implications of Geometrization conjecture for fundamental group

**2**

**0**answers

### Can a non-compact manifold become compact by cutting it?

**2**

**0**answers

### Direct limits of compact surfaces with uniformly bounded topology

**11**

**2**answers

### Conjugacy classes of the mapping class group

**3**

**1**answer

### Arcs and elements of the mapping class group

**4**

**1**answer

### Universal cover or Bass-Serre tree: difference between definitions given by Bass and Serre

**6**

**2**answers

### Topology/geometry of $O(2n)/U(n)$

**20**

**0**answers

### Is the mapping class group of $\Bbb{CP}^n$ known?

**4**

**2**answers

### Rational surgery and attaching $2$-handles

**2**

**1**answer

### What is the Teichmuller metric on the Teichmuller space of a closed surface of genus 1?

**4**

**1**answer

### Real points on a projective curve

**7**

**0**answers

### Representations of $\mathbb Z^2$ in ${\rm Symp}(S^2)$

**5**

**1**answer

### Riemann-Hurwitz for real maps

**4**

**1**answer

### Growth rates of surface groups

**2**

**1**answer

### Hyperbolic links

**5**

**0**answers

### Cycles in Tits building

**3**

**0**answers

### Unitary representations of Kähler groups deformable to one another as complex representations

**2**

**0**answers

### Partitions of unity with arbitrary Lip-constants

**2**

**0**answers

### boundary connect sum of Ganatra-Pardon-Shende

**15**

**1**answer

### Study topology from existence of multiple smooth structures?

**3**

**1**answer

### Asymmetry of outer space - injectivity radius

**5**

**0**answers

### Piecewise linear vs smooth high dimensional knots

**2**

**0**answers

### Cohomological dimension of closed $G$-invariant subspaces on homology manifolds with a group action

**4**

**0**answers

### Symplectic isotopy problem for degree 3 curves in $\mathbb{CP}^2$

**1**

**1**answer

### Example incompressible branched surfaces

**9**

**3**answers

### Does the mean curvature flow naturally come with less applications than intrinsic curvature flows?

**3**

**0**answers

### Is every manifold a double coset space?

**15**

**3**answers

### Unstable manifolds of a Morse function give a CW complex

**3**

**1**answer

### Number of curves in an admissible system of Jordan curves on a surface

**6**

**1**answer

### Non-example for Whitney (a) stratifications

**5**

**1**answer

### Computation of \tau invariant

**10**

**1**answer

### Searching for a Thurston paper with egg / 3-manifold analogy?

**11**

**0**answers

### Proving a group with two generators is not free that uses the Brahamagupta-Pell equation

**19**

**1**answer

### Which cohomology classes are detected by tori?

**9**

**1**answer

### Genus 2 3-manifolds bounding only $X^4$ with $b_2(X^4)$ big?

**6**

**0**answers

### Coarsifying persistence modules

**5**

**1**answer

### Proofs of Euler's characteristic formula for n-Dim polytopes

**16**

**0**answers

### Are these local systems on $\mathscr{M}_{g,1}$ motivic?

**3**

**1**answer

### Homogeneous manifold deformation retracts onto compact submanifold

**1**

**0**answers

### Boundary of slice disk exterior is the zero surgery of slice knot

**0**

**1**answer

### Fundamental group of the complement of cell subcomplexes

**0**

**0**answers

### Tubular neighbourhoods are unique up to ambient isotopy?

**3**

**1**answer

### Two paths to the boundary with no holes in between

**7**

**2**answers

### What does the free action of a surface group on an R-tree look like?

**3**

**2**answers

### A question about congruence subgroups [closed]

**7**

**1**answer