# 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

**13**

**1**answer

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

**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?

**57**

**28**answers

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

**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

**8**

**2**answers

### A counter-example for the reversed direction of Casson-Gordon's theorem

**3**

**1**answer

### Books on foliations

**3**

**0**answers

### Cobordism theory of some weird space

**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**

**1**answer

### Approximate homology of a large simplicial complex

**7**

**1**answer

### Retracting off a compact set

**0**

**1**answer

### Clarification of “death event” in persistent homology

**6**

**0**answers

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

**11**

**4**answers

### What is the “right” definition of the homology(cohomology) of an orbifold?

**6**

**1**answer

### Non-example for Whitney (a) stratifications

**6**

**0**answers

### Coarsifying persistence modules

**6**

**1**answer

### Solutions of PDE under changing topology

**3**

**2**answers

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

**3**

**0**answers

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

**16**

**2**answers

### Equilaterally triangulated surfaces with prescribed boundary

**4**

**1**answer

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

**16**

**3**answers

### Is {6,3,7} an 'ultrahyperbolic' Coxeter group?

**9**

**4**answers

### Associativity of topological join and join of spheres

**11**

**1**answer

### Partial word orders on groups

**19**

**3**answers

### What is the geometric shape of the Monster sporadic group?

**6**

**2**answers

### Ehresmann fibration theorem for manifolds with boundary

**4**

**2**answers

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

**1**

**0**answers

### Spaces that are comparable with their compacts

**2**

**0**answers

### Retracting to a bigger compact

**1**

**0**answers

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

**12**

**1**answer

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

**3**

**2**answers

### General linear inverse monoid

**3**

**1**answer

### Unknotting algorithm in higher dimensions?

**2**

**0**answers

### cohomology classes of complex submanifolds

**51**

**1**answer

### Open map D⁴ → S²

**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]

**5**

**1**answer

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

**7**

**1**answer

### Embedding of flat surfaces

**4**

**1**answer

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

**7**

**4**answers

### General properties of free-by-cyclic groups

**4**

**2**answers

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

**1**

**0**answers