# 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).

**1**

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### “a result of Atiyah implies that the top cell of an orientable manifold splits off stably”

**8**

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### Cohomology of $\operatorname{SO}(p,q;\mathbb{Z})$ with $p=3,q=19$

**15**

**2**answers

### What is the generator of $\pi_9(S^2)$?

**4**

**1**answer

### Casson invariant and Euler characteristic

**10**

**1**answer

### Example of two exotic closed 4-manifolds s.t. SW(X)=0

**3**

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### Order of separating Dehn twists in the image of Johnson homomorphisms

**8**

**1**answer

### History of the notion of $(G,X)$-structure

**3**

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### Asking SnapPy for core curves after surgery

**4**

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### “Brunnian” words in solvable groups

**10**

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### What are the possible linking matrices of a quasi-positive link?

**4**

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### source of argument about relative primeness of simple closed curves on tori

**3**

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### The bridge index and crookedness of a knot

**2**

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### Stabilizing an open book with Anosov piece

**3**

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### Are triangulations with common refinements PL-homeomorphic?

**2**

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