next up previous contents
Next: 3.1 A quick introduction Up: Algebraic Structures on Knotted Previous: 2.9 Some dreams regarding   Contents

3 Planar Algebras

Summary. Another approach for understanding knot theory as a finitely presented theory is within the context of planar algebras which we will review is Section 3.1. Within the context of planar algebras, knot theory has a very nice (and familiar) decription -- it is the theory generated by crossings modulo the standard Reidemeister moves. Even the syzygies of this theory are simply enumerated by codimension two singular plane projections. For now, see [BN8,BN9].


Dror Bar-Natan 2001-07-23