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Isomorphism between braid groups

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#algebraic-topology #fundamental-groups #low-dimensional-topology #braid-groups #configuration-space
321
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Fundamental group of quotient of SO(3) by icosohedral group

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#group-theory #lie-groups #solution-verification #fundamental-groups #low-dimensional-topology
34
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How can I find a medium-length word equal to 1 on a 2-torus?

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#algebraic-topology #homotopy-theory #hyperbolic-geometry #fundamental-groups #low-dimensional-topology
223
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Can one piecewise function have two metric spaces?

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#general-topology #complex-numbers #metric-spaces #low-dimensional-topology
314
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Weeks Manifold - the Heegaard splitting and presentations of its fundamental group

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#group-theory #algebraic-topology #fundamental-groups #group-presentation #low-dimensional-topology
142
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Heegaard genus and ranks of fundamental groups

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#group-theory #algebraic-topology #hyperbolic-geometry #fundamental-groups #low-dimensional-topology
96
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Knots and Embedding

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#general-topology #geometry #algebraic-topology #knot-theory #low-dimensional-topology
512
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Is the linking number via Seifert surfaces well defined?

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#algebraic-topology #homology-cohomology #knot-theory #low-dimensional-topology #knot-invariants
125
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Reference request for surgery on knots

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#algebraic-topology #geometric-topology #knot-theory #low-dimensional-topology
5k
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Why can't Antoine's necklace fall apart?

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#general-topology #geometry #fractals #low-dimensional-topology
161
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Why is the universal cover of $SL(2,\mathbb{R})$ a line bundle over $\mathbb{H}^2$?

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#differential-geometry #low-dimensional-topology
89
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Incompressible surfaces in surface bundles of $S^1$ that are homologous to the fiber are homotopic to the fiber?

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#manifolds #geometric-topology #low-dimensional-topology
389
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Do there exist non-trivial knots whose Jones polynomial is a unit?

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
70
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How would we perceive space from within the hypersphere $S^3$?

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#riemannian-geometry #smooth-manifolds #curvature #spherical-geometry #low-dimensional-topology
69
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Is it easy to see that $S^2\times S^1$ does not admit Euclidean, Hyperbolic or Elliptic geometry?

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#differential-geometry #riemannian-geometry #spherical-geometry #low-dimensional-topology

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