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15
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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
390
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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
461
Views

Classification of knots with unknotting number 1.

Published on
#knot-invariants
27
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Does the link with trivial knot group trivial?

Published on
#knot-theory #knot-invariants
296
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A knot $K = K_1 \# K_2$ is alternating if and only if $K_1$ and $K_2$ are alternating.

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
102
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Given a sequence of head to tail vectors forming a closed loop, how can I determine if they form a knot?

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#general-topology #group-theory #random-walk #knot-theory #knot-invariants
214
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Unusual skein relation in HOMFLY polynomial

Published on
#knot-theory #knot-invariants
73
Views

How can one find a knot with a given Alexander polynomial?

Published on
#knot-theory #knot-invariants
30
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Is there a way to get from a polynomial to a link with the polynomial as its Jones polynomial?

Published on
#knot-theory #knot-invariants
167
Views

Meaning of $C^0$ close between knots

Published on
#knot-theory #knot-invariants #contact-topology
47
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Translation of a Knot

Published on
#knot-theory #knot-invariants
63
Views

On the knot invariant

Published on
#eigenvalues-eigenvectors #knot-theory #knot-invariants
439
Views

Tricolorability of knots: Are there knots of arbitrary large k-colorability?

Published on
#knot-theory #knot-invariants
445
Views

Why is the Jones polynomial for a knot a Laurent polynomial?

Published on
#knot-theory #knot-invariants
298
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Morse theory of knot complements

Published on
#algebraic-topology #manifolds #knot-theory #morse-theory #knot-invariants

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