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Euler Integral of a self-overlapping tube with a cusp singularity

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#combinatorics #algebraic-topology #geometric-topology #low-dimensional-topology
1k
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Existence of a vector field with one singularity on a surface

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#differential-topology #surfaces #vector-fields #low-dimensional-topology
940
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Knot Group and the Unknot

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
1.3k
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The Developing Map

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#reference-request #manifolds #low-dimensional-topology
573
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Homotopically trivial $2$-sphere on $3$-manifold

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#differential-topology #geometric-topology #low-dimensional-topology
1.1k
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Prerequisites for studying Perelman's proof of the Geometrization Conjecture

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#differential-geometry #algebraic-topology #geometric-topology #low-dimensional-topology
129
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Example of a doubly degenerate Kleinian group which does not come from a mapping torus

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#group-theory #geometry #hyperbolic-geometry #low-dimensional-topology
758
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$3$-manifold has same homology groups as a $3$-sphere.

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#abstract-algebra #algebraic-topology #manifolds #homology-cohomology #low-dimensional-topology
368
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If $M$ is a nonorientable $3$-manifold, why is $H_1(M, \mathbb{Z})$ infinite?

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#algebraic-topology #manifolds #homology-cohomology #low-dimensional-topology
1.2k
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The shape of a room that's bigger on the inside

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#geometry #low-dimensional-topology
213
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Does the Dirac belt trick work in higher dimensions?

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#algebraic-topology #rotations #quaternions #low-dimensional-topology
1k
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The composition of a tricolorable knot with another knot is always tricolorable

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#general-topology #knot-theory #low-dimensional-topology #knot-invariants
1.7k
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What closed 3-manifolds have fundamental group $\Bbb Z$?

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#algebraic-topology #geometric-topology #low-dimensional-topology
179
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$S^3$ viewed as a subspace of $\mathbb{C}^2$ and the solid torus, embedding

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#general-topology #low-dimensional-topology
495
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Reference for low-dimensional topology

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#general-topology #reference-request #book-recommendation #low-dimensional-topology

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