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Why does the Jones polynomial never vanish?

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#knot-theory #knot-invariants
197
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References for the Linking number in terms of the cup product.

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#algebraic-topology #knot-theory #knot-invariants
75
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Trivial knot with some crossing points

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#knot-theory #knot-invariants
57
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Can we apply Reidemeister moves to self crossings of one component only of a “trivial” link and keep the others unchanged?

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#knot-theory #knot-invariants
78
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Is the surface bounding the complement of an unlink in 3-space incompressible?

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#knot-theory #knot-invariants
308
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Fixed points of strong inversion of a knot

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#geometric-topology #symmetry #knot-theory #low-dimensional-topology #knot-invariants
675
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Definition of equivalence of knots

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#knot-theory #knot-invariants
108
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Pronunciation of HOMFLY polynomial

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#knot-theory #knot-invariants #pronunciation
288
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Homology of a submanifold complement

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#algebraic-topology #homology-cohomology #smooth-manifolds #knot-invariants
110
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Is this knotted graph knotted?

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#general-topology #graph-theory #knot-theory #knot-invariants
183
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Diagonalization over $\mathbb{Z}$

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#linear-algebra #knot-theory #knot-invariants
572
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Algorithm for tricoloring a knot

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#algebraic-topology #knot-theory #knot-invariants
52
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What would be Conway and Rolfsen style notations for four-component Brunnian link?

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#knot-theory #knot-invariants
103
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Using the Jones polynomial, determine which of the following links are equivalent or inequivalent?

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#knot-theory #knot-invariants
180
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Two-torus embeddable knots

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#knot-theory #knot-invariants

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