# 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).

**9**

**1**answer

### Topological Spin manifolds in dimension 4

**7**

**0**answers

### immersions of low dimensional projective spaces

**3**

**1**answer

### Homology modules and symmetry

**5**

**1**answer

### Abelianization of mapping class groups $\Gamma_{g,n}$

**10**

**1**answer

### Infinite cyclic subgroups of $\text{SL}_2(\mathbb{Z})$

**4**

**1**answer

### outer automorphism classification

**1**

**1**answer

### Twisted torsions of reducible representations of knot groups

**7**

**1**answer

### Can two small exotic smooth $\mathbb{R}^4$ manifolds be combined as a standard smooth $\mathbb{R}^4$?

**2**

**1**answer

### Link invariants distinguishing components

**1**

**1**answer

### Non-positive sectional curvature in 3-dimensional manifold

**1**

**0**answers

### When can a spatial Manifold be deformed into another spatial manifold?

**4**

**1**answer

### One-dimensional compacta as projective limits

**0**

**0**answers

### Parametric Seifert surfaces for parametric families of knots in $\mathbb{R}^3$

**16**

**1**answer

### Extending a map from $S^n\to M^n$ to a nice map from $B^{n+1}\to M^n$

**7**

**0**answers

### How does Outer Space look like without a simplex?

**3**

**0**answers

### Does Heegaard splitting relate topological properties of a $3$-manifold to properties of subgroups of $MCG$

**1**

**0**answers

### Smooth subdivision which is not rectilinear

**5**

**1**answer

### Immersion in $\mathbb R^3$ of a Klein bottle with Morse-Bott height function without centers

**2**

**1**answer

### How to define “interior” for the unit arc? [closed]

**4**

**0**answers

### Slice knot and rational ball

**3**

**1**answer

### Immersion of non-orientable surface in $\mathbb R^3$ with conditions on the height function

**3**

**1**answer

### Does every locally compact connected homogeneous metric space admit a vertex-transitive 'grid'?

**3**

**3**answers

### Continuous map on the simplex (applicable to fair division)

**12**

**0**answers

### The $\infty$-category of $n$-manifolds and open embeddings determined homotopically from that of topological manifolds?

**1**

**1**answer

### Algorithm for identifying reducible braids

**5**

**0**answers

### Two papers on surface diffeomorphisms

**5**

**0**answers

### When do surfaces in $\mathbb{R}^4$ intersect all their translations in one direction?

**10**

**2**answers

### Road map to learn about $\mathrm{Out}{F_n}$

**7**

**1**answer

### Extending a triangulation of the boundary of $M \times I$

**2**

**0**answers

### Khovanov Homology in Macaulay2

**2**

**1**answer

### Euler Characteristic of $SL_m(\mathbb{C})/SO_m(\mathbb{C})$

**7**

**2**answers

### Existence of n-axial elements in groups with at least 2 ends

**4**

**0**answers

### Are these two arguments incompatible?

**5**

**0**answers

### Description of quasimorphisms of the free group

**5**

**2**answers

### Reference request: Reidemeister type moves for immersed curves on surfaces

**5**

**1**answer

### Relations between boundaries of groups acting on hyperbolic spaces with WPD elements

**3**

**1**answer

### Lectures on triangulations of manifolds by Robion Kirby

**4**

**0**answers

### Understanding $w_2$ as an obstruction to trivializing the tangent bundle over 2-cells

**4**

**0**answers

### Borromean Lines of three $\mathbb{R}^1$ in $\mathbb{R}^3$ and analogous Milnor link invariants

**5**

**0**answers

### When do unknots in $S^n$ bound unique balls?

**1**

**0**answers

### A topological property of curves on the plane $\mathbb{R}^2$

**4**

**0**answers

### Proximal isometries in CAT($-1$) metric space

**0**

**0**answers

### Is the Set of all pairwise continuous maps from a bitopological space to a finite heyting algebra,$(L,T,T)$ forms heyting algebra?

**4**

**0**answers

### Is there a one-relator circle-packing theorem?

**10**

**1**answer

### Piecewise linear Poincaré conjecture

**4**

**2**answers

### Maps between grassmannians with inclusion property

**2**

**0**answers

### Cohomology of colored braid groupoids

**4**

**0**answers

### Symmetries of MCG in terms of Humphries generators?

**4**

**1**answer

### On Thurston's triangulations of sphere

**7**

**1**answer