Spin Foam State Sums and Chern-Simons Theory
arXiv:1002.0500
Abstract
We review the spin foam state-sum invariants of 3-manifolds, and explain their relationship to manifold invariants coming from the Chern-Simons theory. We also explain the relationship between the known invariants of spin networks by using the Chain-Mail formalism of J. Roberts. This formalism can be understood as a quantum-group regularization of the BF theory path integrals.
8 pages. Talk presented by A. Mikovic at "Chern-Simons Gauge Theory: Twenty years after" conference, Bonn, 3-7 August 2009