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June 7 Clip 1

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0:30:24 [add] Planar algebras and circuit algebras.
0:48:53 [add] Virtual tangles and their projectivization.
1:10:04 [add] An aside on braid-like and cyclic Reidemeister moves.
1:17:43 [add] The quadratic approximation to v-tangles.
1:25:32 [add] The Roman XII relation.