Eric Forgy
Bicategory of Cubes

I will try to work out a bicategory (mostly as an exercise for myself) on a 3-diamond. I’ll start with a simple directed 3-cube.

The general idea is to construct a bicategory such that

Tim: Just a thought. Quinn used cell complexes in some notes on TQFTs

Quinn F, Lectures on Axiomatic Topological Quantum Field Theory. Geometry and Quantum Field Theory, Volume 1, IAS/Park City Mathematical Series, American Mathematical Society, 1995, p. 325-453.

They should be worth checking out if you can. I do not have my copy 'to hand'.(It is in a huge pile on the otherside of the room!) He based TQFTs on more general things than manifolds, but I do not accurately rememebr the details.

Eric: Thanks Tim! I'll look up some of Quinn's stuff, but I do not have access to a library, so getting a hold of this paper will be tricky.

References:

Revised on June 17, 2009 at 18:29:23 by Eric Forgy