Sunday, January 30, 2011

Theory Update 46

The braid group on three strands is associated to the spatial complement of the trefoil knot in three dimensional space. Let us draw Loday's trefoil on the tetrahedron associahedron.
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1 comment:

  1. KeaJanuary 30, 2011 at 8:15 PM

    We can view the three square faces as the holes in a pair of pants. (Recall that the moduli space of the pair of pants is a point). There are generators for the braid group $B_3$ associated to the outer trefoil loops, that is one for each side of the particle triangle.

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