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Isomorphism $H_1(\mathbb{S}^3\setminus F)\cong H_1(F)$

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#algebraic-topology #knot-theory
562
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Find a formula for the Jones polynomial of the disjoint union of two diagrams $K_1$ and $K_2$

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#general-topology #knot-theory #knot-invariants
228
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Definition of a Knot

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#definition #knot-theory
75
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Knot theory: Converting a parametrization into an embedding

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#knot-theory #parametrization
144
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What does a dot over $\dot{D}^2$ mean in topology?

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#notation #geometric-topology #knot-theory
124
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Picture about what's going on in a proof for knot theory

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#general-topology #algebraic-topology #knot-theory
158
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What is $X_\infty$ for a topological space $X$?

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#general-topology #algebraic-topology #knot-theory
198
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Seifert matrix for the unknot

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#knot-theory
262
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Euler characteristic for pair of checkerboard surfaces of a link

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#algebraic-topology #knot-theory
59
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Is linking number invariant under automorphisms of $S^3$?

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#differential-topology #geometric-topology #knot-theory
504
Views

Equivalent knots have same Alexander polynomial

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#algebraic-topology #knot-theory
656
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Reverse knot and reflection

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#algebraic-topology #knot-theory
72
Views

Khovanov homology invarience under first reidemester move

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#homology-cohomology #geometric-topology #knot-theory #knot-invariants
179
Views

Existence of algorithms of detecting knot invertibility

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#knot-theory
986
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Infinity cyclic cover for knot complement

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#general-topology #algebraic-topology #covering-spaces #knot-theory

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