Tags » Pictorial Algebra

TQFTs via Planar Algebras (Part 3)

This is the third and final post in my series about using planar algebras to construct TQFTs. In the first post we looked at the 2D case and came up with a master strategy for constructing TQFTs. 2,117 more words


TQFTs via Planar Algebras (Part 2)

In my last post I explained a strategy for using n-dimensional algebraic objects to construct (n+1)-dimensional TQFTs, and I went through the n=1 case: Showing how a semi-simple symmetric Frobenius algebra gives rise to a 2-dimensional TQFT. 2,259 more words


TQFTs via Planar Algebras

So today I am giving a talk in the Subfactor seminar here at Berkeley, and I thought it might by nice to write my pre-talk notes here on the blog, rather then on pieces of paper destined for the recycling bin. 1,520 more words


Questions about the MOY relations

I have some rather specific questions about the MOY knot invariant which have come up as Sabin Cautis and I have been thinking about Khovanov-Rozansky homology. 418 more words

Link Homology

The operadic periodic table

Since Scott broached the topic I want to talk a little bit about higher (and lower!) dimensional analogues of planar algebras. This will be somewhat vague, but will end with some nice pictures. 844 more words

Category Theory