Timeline for Knot diagrams, sets of moves and equivalence relations
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 25, 2023 at 1:13 | history | edited | Ian Agol | CC BY-SA 4.0 |
added 114 characters in body
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| May 20, 2023 at 8:32 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Aug 7, 2012 at 16:54 | comment | added | Ian Agol | @Daniel: I see, I learned about these moves in grad school I think before claspers were around, and I didn't realize they were equivalent. The number of Delta moves needed to unknot a knot is congruent to the Arf invariant. I don't have a copy of Huang's thesis, but I went to his thesis defense, and from what I can remember, you can slide arcs of the knot diagram around, treating a strand going under a crossing as two separate arcs attaching at the overstrand. But this was over 15 years ago, so I don't remember the details. | |
| Aug 7, 2012 at 15:57 | comment | added | Daniel Moskovich | These both delta moves are special cases of Y-clasper surgeries ($C_2$ moves). Take a clasper with one leaf ringing around each strand participating in the delta. Could you describe slide equivalence? | |
| Aug 7, 2012 at 15:42 | history | answered | Ian Agol | CC BY-SA 3.0 |