Mathematics – Geometric Topology
Scientific paper
2009-04-10
Mathematics
Geometric Topology
More than 200 diagrams, pdf is better for download. Minor corrections, references added
Scientific paper
We prove an upper bound for the evaluation of all classical SU(2) spin networks conjectured by Garoufalidis and van der Veen. This implies one half of the analogue of the volume conjecture which they proposed for classical spin networks. We are also able to obtain the other half, namely, an exact determination of the spectral radius, for the special class of generalized drum graphs. Our proof uses a version of Feynman diagram calculus which we developed as a tool for the interpretation of the symbolic method of classical invariant theory, in a manner which is rigorous yet true to the spirit of the classical literature.
No associations
LandOfFree
On the volume conjecture for classical spin networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the volume conjecture for classical spin networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the volume conjecture for classical spin networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-674265