# 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).

**5**

**1**answer

### Geometry of a manifold after Dehn filling, in terms of geometry pre-filling

**4**

**1**answer

### Cobordism modelling fibration over $S^1$

**10**

**0**answers

### Vietoris-Rips complex and coarse geometry

**2**

**1**answer

### Easy lemma for trivalent graphs in colored Jones polynomial

**7**

**0**answers

### Second cohomology of handlebody mapping class group

**3**

**1**answer

### Are Seifert fibered spaces with a horizontal surface exactly the surface bundles over the circle with periodic monodromy?

**6**

**1**answer

### Starting letters of equivalent infinite geodesic paths of hyperbolic Coxeter groups

**1**

**0**answers

### Cyclic homotopies of quotients of $S^3$

**13**

**1**answer

### Is there a Morita cocycle for the mapping class group Mod(g,n) when n > 1?

**4**

**0**answers

### Knot and its embedded disk

**12**

**1**answer

### Examples of hyperbolic groups

**4**

**0**answers

### Branched 2-fold covering over edge of a 3-orbifold

**0**

**0**answers

### Trajectory definition using constrained projections on unknown surface

**3**

**0**answers

### What is the connection between $\mathrm{AdS}_2$ and the hyperbolic plane $\mathbb{H}^2$?

**6**

**1**answer

### unlinking in 5 dimensions

**5**

**0**answers

### Finitely generated nilpotent groups as cusp groups

**2**

**1**answer

### Distinguishing Square Knot and Granny Knot using Quandles

**1**

**0**answers

### Maximum number of ways of splitting a set of points with an hyperplane

**1**

**0**answers

### Quadrilateral fundamental domain

**7**

**3**answers

### Wildness of codimension 1 submanifolds of euclidean space

**7**

**1**answer

### To find a point in Teichmüller space or measured foliation, how many lengths of curves do you need?

**14**

**1**answer

### Simplicial set of permutations

**4**

**2**answers

### Tiling of genus 2 surface by 8 pentagons

**3**

**0**answers

### Diffeomorphism classification of Grassmannian manifolds

**3**

**0**answers

### Is this a typo in Ihara's “On discrete subgroups of the two by two projective linear group over p-adic fields”?

**13**

**3**answers

### Immersions of surfaces in $\mathbb{R}^3$

**5**

**0**answers

### Why does the longitude correspond to Frobenius in Arithmetic Topology, and other strange phenomena

**1**

**1**answer

### Two multi-curves in a surface with the same transverse measure

**2**

**0**answers

### Category of Manifolds and Maps: TOP $\supseteq$ TRI $\supseteq$ PL $\supseteq$ DIFF? [closed]

**7**

**1**answer

### Fibers of continuous maps of $\mathbb{R}^n$ which are injective at dense points

**5**

**1**answer

### Curvature and asphericity of cube complexes

**8**

**1**answer

### Cobordism Theory of Topological Manifolds

**9**

**1**answer

### What do absolute neighborhood retracts look like?

**8**

**0**answers

### Non-additivity of intersection forms

**6**

**1**answer

### What are orbifolds with corners?

**8**

**0**answers

### Representation of the space of lattices in $\Bbb R^n$

**4**

**2**answers

### The handlebody decomposition of S^1 bundles over surfaces?

**7**

**1**answer

### A coincidence between the Lambert cube, Lobell polyhedron, and hyperbolic 3-manifolds?

**11**

**0**answers

### Which presentation of a 3-manifold group comes from a Heegaard splitting?

**3**

**0**answers

### What is topology of all Square matrices such that matrix times it transpose is diagonal

**6**

**1**answer

### Can an exotic diffeomorphism of the 4-ball change the isotopy class of an embedded surface?

**5**

**1**answer

### Complete folds and one cut

**3**

**1**answer

### Wall self-intersection invariant for odd-dimensional manifolds?

**12**

**1**answer

### Do (3+1)-dimensional Lorentzian manifolds admit unique smoothings?

**3**

**1**answer

### Obtaining the bounding 4-manifold from the Heegaard diagram

**7**

**0**answers

### Disciplining dunce hats

**3**

**0**answers

### Pointwise stabilizer of an apartment of the Bruhat-Tits building of $\mathrm{SL}_n(\mathbb{Q}_p)$

**1**

**0**answers

### What does it mean for two natural numbers to be *approximately equal*?

**5**

**1**answer

### On a corollary of a paper by Colin and Honda

**5**

**1**answer