# 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).

**15**

**1**answer

### How well can we localize the “exoticness” in exotic R^4?

**7**

**2**answers

### Ideals in the ring of single-variable Laurent polynomials with integer coefficients

**3**

**2**answers

### exotic smooth structure clarification

**3**

**1**answer

### Equivariant Surgery problem

**10**

**1**answer

### 4-manifolds in the 4-sphere such that it, *and* its complement have unsolvable word problem

**14**

**6**answers

### Geometric flavored textbook on algebra

**6**

**1**answer

### Simply-connected domain around a curve

**8**

**2**answers

### Small neighborhoods of singularities on varieties

**11**

**3**answers

### distance formula in Farey graph?

**2**

**2**answers

### Lipschitz orthonormal frames on submanifolds of $\mathbf{R}^n$ ?

**21**

**1**answer

### Word problem for fundamental group of submanifolds of the 4-sphere

**6**

**3**answers

### Jordan Curve Homotopy

**5**

**1**answer

### Recognizing regular neighborhoods

**58**

**14**answers

### What are some of the big open problems in 3-manifold theory?

**7**

**1**answer

### Intersection product in a manifold, taking values in one factor

**9**

**3**answers

### Closed 3-manifolds with free abelian fundamental groups

**27**

**2**answers

### What is the right notion of self-dual (two-dimensional) percolation in R^4?

**10**

**2**answers

### Retraction of a Riemannian manifold with boundary to its cut locus

**3**

**3**answers

### Collapsing contractible subsets of the two-disk.

**3**

**2**answers

### A question about the Kakeya problem

**24**

**4**answers

### Examples of non-diffeomorphic smooth manifolds with diffeomorphic tangent bundle

**32**

**1**answer

### “Affine communication” for topological manifolds

**2**

**1**answer

### Some more questions about regularity of homeomorphisms of foliations

**5**

**3**answers

### A question about regularity of foliations

**52**

**3**answers

### Kirby calculus and local moves

**20**

**1**answer

### How are the Conway polynomial and the Alexander polynomial different?

**5**

**1**answer

### Rotation part of short geodesics in hyperbolic mapping tori

**25**

**2**answers

### Level sets of Morse functions

**2**

**1**answer

### When can a folded polygon be isometrically (locally) embedded into R^3 ?

**4**

**3**answers

### What kind of 3-manifolds arise has hypersurfaces in R^4?

**12**

**5**answers

### Which manifolds admit a diffeomorphism of order $n$?

**11**

**2**answers

### Constructing 4-manifolds with fundamental group with a given presentation.

**7**

**4**answers

### To differently gluing of two Riemann surfaces with boundary we get different surfaces

**7**

**3**answers

### An obstruction theory for promoting homotopy equivalences that are equivariant maps to equivariant homotopy equivalences?

**6**

**1**answer

### Coordinates on Flag Manifolds

**13**

**4**answers

### Minimal-length embeddings of braids into R^3 with fixed endpoints

**5**

**2**answers

### Symmetric colorings of regular tessellations

**13**

**5**answers

### A characterization of convexity

**73**

**3**answers

### Gromov's list of 7 constructions in differential topology

**5**

**1**answer

### Solenoid of a continuous map of a ball, is it contractible?

**1**

**0**answers

### Riemann surfaces

**21**

**3**answers

### “Largest” finite-dimensional Lie subgroups of Diff(S^n), are they known?

**7**

**2**answers

### Osculating conics and cubics and beyond

**19**

**2**answers

### De Rham decomposition theorem, generalisations and good references

**2**

**2**answers

### Name for the motion of an immersion?

**5**

**1**answer

### Is a simple loop in a spine of a strongly irreducible Heegaard splitting primitive in the fundamental group?

**9**

**1**answer

### How does the Lefschetz-Poincare dual torsion linking pairing on manifolds with boundary interact with the maps of the long exact sequence of the manifold-boundary pair?

**4**

**3**answers

### About the proof of Wajnryb's finite presentation of Mod(S)

**19**

**0**answers

### Polynomials with roots in convex position

**18**

**4**answers