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,...

**3**

**3**answers

### Extending a continuous map over projective space

**1**

**0**answers

### Universal cover of ladderly puntured complex plane

**6**

**1**answer

### Reference request: Can iterated torus links be mutated?

**1**

**0**answers

### Determine all possible magnetic monopole of gauge theories

**10**

**0**answers

### A geometric interpretation of the odd-primary Kervaire elements

**2**

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### Must bounded, closed, smooth curves with long straights have sharp bends?

**10**

**2**answers

### Is the boundary of a manifold topologically unique? [duplicate]

**9**

**0**answers

### Generalize $\mathbb Z/p$-space for irrational $\alpha$

**7**

**1**answer

### Higher dimensional scutoids?

**5**

**1**answer

### Discrete approximations of Riemannian manifolds

**7**

**4**answers

### Lattices of PU(n,1) with large abelianization

**4**

**2**answers

### Find a surface or 3-manifold whose fundamental group is $(\mathbb{Z}/n\mathbb{Z}) \rtimes (\mathbb{Z}/2\mathbb{Z})$

**6**

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### What is the mathematical structure of 2d TQFT from the 2d foam category (instead of 2d cobordism category)?

**1**

**1**answer

### framed n component link on a genus n surface determines the self-homeomorphism?

**1**

**0**answers

### From Sudakov minoration principle to lowerbounds on Rademacher complexity

**11**

**1**answer

### Obstruction of spin-c structure and the generalized Wu manifods

**7**

**1**answer

### Non-triangulable 4-manifold as a boundary of some 5 manifold

**5**

**2**answers

### Any 3-manifold can be realized as the boundary of a 4-manifold

**9**

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### Define the 3d Chern-Simons TQFT on a discrete simplicial complex

**10**

**2**answers

### Is the Lisca-Matic bound (aka slice-Bennequin bound) strictly stronger than the Bennequin bound?

**16**

**2**answers

### What is the weakest negative curvature condition ensuring a manifold is a $K(G,1)$?

**7**

**1**answer

### Random 3-manifolds in $R^4$

**26**

**1**answer

### What is the minimal dimension of a complex realising a group representation?

**9**

**1**answer

### Finite group representation as $\mathrm{Aut}(\Gamma)$ action $H^1(\Gamma,\mathbb{Z})$ of graph?

**6**

**1**answer

### Generalized projective spaces, spheres, and exotic spheres [closed]

**4**

**0**answers

### Vanishing cycles for elliptic fibration on K3 surface?

**5**

**0**answers

### Asphericity of hypersurface complement in ${\mathbb C}^n$

**4**

**1**answer

### Minimum dimension of faithful representation of mapping class groups?

**31**

**3**answers

### Why should I care about the Jones polynomial?

**2**

**1**answer

### Non-orientable 3-manifolds

**6**

**1**answer

### What is the complexity of determining if a knot group is $\mathbb{Z}$?

**10**

**0**answers

### Amalgamated product of automatic groups

**5**

**1**answer

### How many simple closed geodesics in a given primitive homology class?

**8**

**1**answer

### Bi-Lipschitz extension

**3**

**1**answer

### Isotopy Invariants of 2-manifold

**6**

**1**answer

### Can one construct a regular neighborhood without an ambient space?

**2**

**1**answer

### What are some surprising facts that happen after you remove a point to a space? [closed]

**5**

**1**answer

### Teichmueller disk and the $\mathrm{SL}_2\mathbb{R}$ action

**16**

**1**answer

### Lowest Dimension for Counterexample in Topological Manifold Factorization

**6**

**1**answer

### Five-dimensional manifolds fibering over a fixed hyperbolic surface

**9**

**1**answer

### Projective resolutions of finite-dimensional representations of infinite groups

**27**

**1**answer

### Four circles on the sphere

**4**

**0**answers

### Gaussian curvature/Euler characteristic of Facebook clusters

**5**

**1**answer

### Formula for Goldman Lie bracket of surface

**3**

**0**answers

### Step by step construction of 3-manifolds in $R^4$

**3**

**1**answer

### Links defined by link-severance tableau

**4**

**1**answer

### Are fundamental groups of web complements residually finite?

**7**

**0**answers

### Smale's relative h-cobordism theorem

**3**

**1**answer

### Isotopy extension theorem: how non-unique is ambient isotopy

**8**

**0**answers