# 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).

**2**

**0**answers

### Integral geometry for general closed smooth manifolds

**5**

**0**answers

### Generalizing the formula between Wu class and the Steenrod square

**1**

**0**answers

### Homeomorphism type of the horofunction boundary for nilpotent Lie groups

**5**

**1**answer

### Are framed manifolds cubulatable?

**11**

**0**answers

### What is the centralizer of a Coxeter element?

**3**

**0**answers

### Subalgebras and ideals of algebra of Vassiliev invariants

**4**

**0**answers

### Twisted spin-bordism invariant and a possible Postnikov square from $d=2$ to $d=5$

**7**

**1**answer

### Twisted spin bordism invariants in 5 dimensions

**8**

**3**answers

### SL(2, C)-representation of a knot

**0**

**0**answers

### Analogs of “Intersection Forms” for 3-manifolds and 5-manifolds [closed]

**4**

**1**answer

### Smooth embedding of space forms in the Euclidean space

**3**

**0**answers

### About topologically mixing functions

**12**

**0**answers

### Counter example to lifting contractibility of a topological space

**2**

**0**answers

### Space of non-vanshing sections path-connected?

**8**

**0**answers

### A question about dimension of SL(2,C) character variety of knot group

**5**

**0**answers

### Is there any work in topological data analysis on something like “Voronoi complexes”?

**3**

**0**answers

### Handlesliding a two component, linking number 1 link

**6**

**4**answers

### Homology sphere with $\mathbb{R}^3$ as the universal cover

**3**

**0**answers

### What kind of set is this, spanned by two positive definite matrices?

**2**

**0**answers

### Self-intersections of words

**9**

**3**answers

### Reference request for wild 3-manifolds

**0**

**1**answer

### Maximum of a sum of Gaussian functions

**3**

**0**answers

### Can bellows make loops?

**4**

**1**answer

### non-proper parabolic isometries of hyperbolic spaces

**5**

**1**answer

### Is there a generalized Property P - what can we say about framed link descriptions of $S^3$?

**10**

**2**answers

### Is there a known invariant for knotted surfaces defined by skein relations?

**11**

**0**answers

### Are there exotic twisted doubles of 4-manifolds?

**7**

**0**answers

### Different definitions of Stiefel-Whitney classes

**10**

**1**answer

### Homeomorphic characterization of the real line? [duplicate]

**5**

**0**answers

### "There exists $e_0(S)$ such that the shortest nonperipheral curve on $(S, x)$ has extremal length at most $e_0$

**5**

**0**answers

### Is there any known relationship between sutured contact homology and Legendrian contact homology?

**8**

**1**answer

### Critical dimensions D for “smooth manifolds iff triangulable manifolds”

**6**

**0**answers

### Adjoint of the Hodge de Rham star operator under the integral pairing

**4**

**1**answer

### When Stone–Čech compactification is totally disconnected

**3**

**0**answers

### If the total space of circle bundle over hyperbolic manifold admits Riemannain metric of non-positive sectional curvature?

**4**

**1**answer

### Flat solvmanifolds?

**3**

**1**answer

### Sheaves on solenoids

**10**

**0**answers

### Triangulation of the complex projective plane

**11**

**2**answers

### Minimal area of Seifert surfaces

**9**

**1**answer

### An almost complex structure on $S^2\times …\times S^2 / \mathbb{Z_2}$

**3**

**0**answers

### Topological approach to create a space between clouds

**4**

**1**answer

### Complement of Donaldson divisors in dimension 4

**7**

**1**answer

### Action of diffeomorphism group on non-vanishing vector fields

**4**

**2**answers

### Is the *unreduced* Burau representation unitary?

**8**

**2**answers

### Can one disjoin any submanifold in $\mathbb R^n$ from itself by a $C^{\infty}$-small isotopy?

**9**

**1**answer

### A wild embedding of $\mathbb{S}^1$ into $\mathbb{R}^3$

**6**

**1**answer

### Relationship between induced maps at homotopy groups level for maps $f:S^2\to S^2$

**4**

**0**answers

### Mapping class group of $\mathbb{S}^3$

**7**

**0**answers

### Hyperbolic group with boundary $S^1$ implies virtually Fuchsian via bounded cohomology?

**5**

**1**answer