Question

Computing Incorrect Signs for Planar Graph of an Alternating Knot Projection

score 45 · Answer 1 · 2026-04-15 16:01:21

45

Views

Computing Incorrect Signs for Planar Graph of an Alternating Knot Projection

Published on 15 Apr 2026 - 16:01

score 277 · Answer 2 · 2026-04-15 13:22:42

277

Views

Are link (non-splittable) quandles complete invariant up to orientation?

Published on 15 Apr 2026 - 13:22

score 239 · Answer 3 · 2026-04-14 16:54:14

239

Views

Number of minima in a ribbon disk?

Published on 14 Apr 2026 - 16:54

score 891 · Answer 4 · 2026-04-11 17:51:29

891

Views

Why is the fundamental group of the Hopf link abelian but a two component unlink isn't

Published on 11 Apr 2026 - 17:51

score 136 · Answer 5 · 2026-04-15 16:31:08

136

Views

torus crossing directions & Conway polynomial

Published on 15 Apr 2026 - 16:31

score 704 · Answer 6 · 2026-04-12 13:41:00

704

Views

Given a knot, what's the minimal genus of a torus the knot is embeddable on?

Published on 12 Apr 2026 - 13:41

score 156 · Answer 7 · 2026-04-14 15:48:34

156

Views

Show Jones polynomial is unique

Published on 14 Apr 2026 - 15:48

score 176 · Answer 8 · 2026-04-15 08:58:02

176

Views

Map of $\mathbb{R}^3-Knot \to S^1$

Published on 15 Apr 2026 - 8:58

score 125 · Answer 9 · 2026-04-16 14:58:07

125

Views

winding number and Jordan-Schoenflies Theorem

Published on 16 Apr 2026 - 14:58

score 424 · Answer 10 · 2026-04-14 19:54:29

424

Views

Using grid diagram to compute the Alexander polynomial

Published on 14 Apr 2026 - 19:54

score 96 · Answer 11 · 2026-03-31 04:40:21

96

Views

Show that any simple closed polygon in $\mathbb{R^2}$ belongs to the trivial knot type.

Published on 31 Mar 2026 - 4:40

score 190 · Answer 12 · 2026-04-13 06:51:00

190

Views

Show that there are no knotted quadrilaterals or pentagons. what knot types are represented by hexagons? by septagons?

Published on 13 Apr 2026 - 6:51

score 113 · Answer 13 · 2026-04-12 10:20:07

113

Views

Devise a method for constructing a table of knots, and use it to find $10$ knots of not more than $6$ crossings.

Published on 12 Apr 2026 - 10:20

score 126 · Answer 14 · 2026-04-14 22:30:51

126

Views

Show that the number of tame knot types is at most countable.

Published on 14 Apr 2026 - 22:30

score 243 · Answer 15 · 2026-04-15 14:14:07

243

Views

Prove that the equivalence of 2 knots is an equivalence relation.

Published on 15 Apr 2026 - 14:14

List Question

Computing Incorrect Signs for Planar Graph of an Alternating Knot Projection

Are link (non-splittable) quandles complete invariant up to orientation?

Number of minima in a ribbon disk?

Why is the fundamental group of the Hopf link abelian but a two component unlink isn't

torus crossing directions & Conway polynomial

Given a knot, what's the minimal genus of a torus the knot is embeddable on?

Show Jones polynomial is unique

Map of $\mathbb{R}^3-Knot \to S^1$

winding number and Jordan-Schoenflies Theorem

Using grid diagram to compute the Alexander polynomial

Show that any simple closed polygon in $\mathbb{R^2}$ belongs to the trivial knot type.

Show that there are no knotted quadrilaterals or pentagons. what knot types are represented by hexagons? by septagons?

Devise a method for constructing a table of knots, and use it to find $10$ knots of not more than $6$ crossings.

Show that the number of tame knot types is at most countable.

Prove that the equivalence of 2 knots is an equivalence relation.

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