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Non-Equivalent knots which are indistinguishable by colourings

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#examples-counterexamples #coloring #knot-theory #knot-invariants
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Purpose of the knot group

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#knot-theory #knot-invariants
159
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On definition of a surface-knot

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#knot-theory #low-dimensional-topology #knot-invariants
76
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Is a non-geometrically essential knot in a standard solid torus in $\mathbb{R}^3$ trivial?

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#knot-theory #low-dimensional-topology #knot-invariants
258
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First homology group of the complement of a twisted circle in 3-space

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
57
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What is known about the image of the Jones polynomial functor (in particular on the class of all knots)?

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#reference-request #algebraic-topology #laurent-series #knot-theory #knot-invariants
105
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On the genus of thin knots.

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#knot-theory #knot-invariants
167
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Why trivial quandle is trivial?

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#algebraic-topology #knot-theory #knot-invariants
77
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On a quandle cocycle

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#abstract-algebra #algebraic-topology #knot-theory #knot-invariants
124
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Trivial colouring and the fundamental group of a knot

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#knot-theory #knot-invariants
539
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HOMFLY polynomial of hopf link

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#knot-theory #knot-invariants
124
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Vassiliev invariant calculation

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#knot-theory #knot-invariants
57
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Is the fundamenatl quandle of surface-knot a complete invariant up to the mirror images?

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#knot-theory #knot-invariants
438
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A knot invariant which highlights the unknot

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#general-topology #algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
375
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Can the Borromean rings be unlinked if we allow each component to pass through itself?

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#knot-theory #knot-invariants

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