# 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).

**0**

**0**answers

### Convex surfaces with transverse boundary (contact geometry)

**8**

**0**answers

### Find a 4-manifold bounding a 3-torus with any abelian representation in SL_2

**6**

**1**answer

### Cobordism monopole Floer homology

**5**

**1**answer

### Computing $\pi_2$ of the complement of a 2-knot or spaces with aspherical splittings?

**3**

**0**answers

### Cobordism theory of some weird space

**3**

**1**answer

### Books on foliations

**6**

**1**answer

### Mean curvature flow and knot theory

**5**

**1**answer

### Whitney sum formula for topological Pontryagin classes

**0**

**2**answers

### Transverse invariant measures to vector fields

**57**

**28**answers

### Proofs where higher dimension or cardinality actually enabled much simpler proof?

**4**

**0**answers

### Image of the mapping class group of surfaces into automorphism group?

**3**

**1**answer

### Maximally symmetric hyperbolic 3-manifolds with finite volume

**1**

**0**answers

### When a free action gives rise to a $G$-principal bundle

**4**

**0**answers

### Implicit function theorem for PL maps

**6**

**0**answers

### Why does the inverse Alexander polynomial appear in the MMR conjecture?

**6**

**1**answer

### Solutions of PDE under changing topology

**3**

**0**answers

### Convergence of Fuchsian groups and existence of suitable homeomorphisms

**7**

**1**answer

### Retracting off a compact set

**4**

**1**answer

### Mirzakhani's hyperbolic method generalized to moduli space of stable maps

**4**

**2**answers

### Is it possible to connect every compact set?

**1**

**0**answers

### Spaces that are comparable with their compacts

**1**

**0**answers

### Spherical space-form as the boundary of an Euclidean ball

**2**

**0**answers

### Retracting to a bigger compact

**12**

**1**answer

### Powers of the Euler class, torsion free subgroup of Homeo($S^1$)

**3**

**1**answer

### Unknotting algorithm in higher dimensions?

**3**

**2**answers

### Homology torsion in the double branched cover of a tangle?

**2**

**0**answers

### cohomology classes of complex submanifolds

**8**

**1**answer

### Mostow Rigidity Theorem and reconstruction from fundamental group

**6**

**1**answer

### An orientable surface that cannot be embedded into $\Bbb R^3$? [duplicate]

**4**

**1**answer

### Is a cosparse action on a CAT(0) cube complex an essential action?

**1**

**0**answers

### relative transformation of coordinates on a flat surface [closed]

**4**

**2**answers

### When existence of loxodromic, WPD elements implies an action is acylindrical

**5**

**1**answer

### Quasi-isometric embedding of graphs in non-compact riemannian surfaces

**2**

**0**answers

### Riemann mapping theorem with boundaries and corners

**2**

**1**answer

### Upper bounds on the genus of the surface produced by Seifert's algorithm

**8**

**1**answer

### Is a gluing of homeomorphic Mazur manifolds diffeomorphic to $S^4$?

**11**

**2**answers

### Two Dehn fillings yielding a lens space?

**6**

**0**answers

### Existence of codimension 1 topological foliations

**2**

**0**answers

### Find a manifold with boundary of a geodesic ball being a torus [closed]

**7**

**1**answer

### Map which is null-homotopic on compacts

**2**

**1**answer

### vector field on the torus [closed]

**9**

**2**answers

### Is limit of null-homotopic maps null-homotopic?

**3**

**1**answer

### Rigid Brunnian links for $n \geq 4$

**7**

**1**answer

### Non-density of continuous functions to interior in set of all continuous functions

**6**

**0**answers

### References for the connectivity of complements of smooth submanifolds

**6**

**1**answer

### Explicit fundamental domain for the action of $\operatorname{O}(n,1)(\mathbb{Z})$ on $\operatorname{O}(n,1)(\mathbb{R})$

**10**

**0**answers

### Embedding 2-complexes null homotopically into 2-complexes

**6**

**0**answers

### The last step in Ahlfors' and Sario's proof of the triangulability of surfaces

**2**

**1**answer

### Moduli, Teichmüller spaces and mapping class group of a sphere with four punctures

**4**

**0**answers