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Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

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#algebraic-topology #differential-topology #homology-cohomology #low-dimensional-topology #poincare-duality
95
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Is every hyperbolic 3-manifold of finite volume a link complement in some closed 3-manifold?

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#hyperbolic-geometry #geometric-topology #low-dimensional-topology
173
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Understanding a comment by Thurston

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#hyperbolic-geometry #geometric-topology #low-dimensional-topology
67
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Hyperbolic 3-manifolds of finite volume as link complements

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#hyperbolic-geometry #geometric-topology #low-dimensional-topology
63
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The fundamental groups of 3-dimensional spherical space forms

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#group-theory #geometric-topology #orthogonal-matrices #low-dimensional-topology
232
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Covering space of a compact connected surface without boundary is a compact surface without boundary

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#general-topology #algebraic-topology #geometric-topology #low-dimensional-topology
47
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Can a compact surface-with-boundary admit arbitrarily high genus subsurfaces-with-boundary?

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#surfaces #geometric-topology #low-dimensional-topology
177
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Why a special ball in $S^3$ is unique?

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#algebraic-topology #geometric-topology #knot-theory #low-dimensional-topology
282
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Stiefel Whitney class and intersection form

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#algebraic-topology #low-dimensional-topology #compact-manifolds
50
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How to find an embedded submanifold in $\mathbb{R}^{n}$ which pass through some given points in $\mathbb{R}^{n}$ and has the lowest dimension?

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#differential-geometry #riemannian-geometry #low-dimensional-topology
69
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Do Reidemeister moves allow you to go from a prime knot of n crossings to another prime knot of n crossings?

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#knot-theory #low-dimensional-topology
128
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Is it possible to have linked n-spheres in any other space other than $\Bbb R^{n+2}$?

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#manifolds #geometric-topology #low-dimensional-topology
28
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Algorithm for standardizing curves

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#low-dimensional-topology
105
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what are the most interesting long standing problems in low-dimensional topology?

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#low-dimensional-topology
455
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Do all non-orientable have to "close" in some direction?

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#general-topology #geometry #differential-geometry #differential-topology #low-dimensional-topology

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