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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
126
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Reference request for surgery on knots

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#algebraic-topology #geometric-topology #knot-theory #low-dimensional-topology
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
124
Views

Knot polynomial of composite knot

Published on
#knot-theory
778
Views

How to see that the figure 8 knot has genus 1?

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#general-topology #knot-theory
27
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Does the link with trivial knot group trivial?

Published on
#knot-theory #knot-invariants
296
Views

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
57
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Tying a portion of a knot diagram

Published on
#knot-theory #low-dimensional-topology
359
Views

Distortion of the Unknot

Published on
#geometric-topology #knot-theory #low-dimensional-topology
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?

Published on
#general-topology #group-theory #random-walk #knot-theory #knot-invariants
214
Views

Unusual skein relation in HOMFLY polynomial

Published on
#knot-theory #knot-invariants
171
Views

Is the Mazur swindle a supertask?

Published on
#knot-theory
64
Views

Where can I get an introduction to the Colored HOMFLY Polynomial?

Published on
#reference-request #soft-question #self-learning #knot-theory #topological-quantum-field-theory
158
Views

Simple examples of colored HOMFLY polynomial?

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#reference-request #examples-counterexamples #knot-theory
47
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Higher homotopy groups of a string complement in a cylinder.

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#algebraic-topology #homotopy-theory #knot-theory

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