The algebra of knotted trivalent graphs and Turaev's shadow world
The algebra of knotted trivalent graphs and Turaev's shadow world
Knotted trivalent graphs (KTGs) form a rich algebra with a few simple operations: connected sum, unzip, and bubbling. With these operations, KTGs are generated by the unknotted tetrahedron and Mobius strips. Many previously known representations of knots, including knot di- agrams and non-associative tangles, can be turned into KTG presentations …