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Oct 31, 2023 at 14:05 history edited Calvin McPhail-Snyder CC BY-SA 4.0
Explain connection to reference
Oct 30, 2023 at 11:50 history edited Calvin McPhail-Snyder CC BY-SA 4.0
corrected error in answer about stabilizations
Oct 30, 2023 at 11:43 comment added Calvin McPhail-Snyder I think you're right. Upon further thought I don't see a good way to avoid having a stabilization-type relation, although there's a way to deal with this at the level of invariants to avoid passing to the framed braid group.
Oct 28, 2023 at 12:03 comment added Student I don't think this answer is correct. If you just take away the second (i.e. (de)stabilization) relation), the result can't be what characterizes the framed links. Indeed, obviously there are braids with different amount of stings whose closures are isotopic framed links. With the first condition along this is missed. A reference I found for the Markov theorem for framed links is lemma 1 in Framed Braid Group and 3-Manifolds-[Ki Hyoung Ko and Lawrence Smolinsky]. Notice that the group is larger, but the relations are similar to Markov.
May 18, 2021 at 14:18 vote accept Meths
May 16, 2021 at 21:53 history answered Calvin McPhail-Snyder CC BY-SA 4.0