3D MANIFOLDS, GRAPH INVARIANTS AND CHERN-SIMONS THEORY
1992 ◽
Vol 07
(23)
◽
pp. 2065-2076
◽
Keyword(s):
We show how the Turaev-Viro invariant, which is closely related to the partition function of three-dimensional gravity, can be understood within the framework of SU(2) Chern-Simons theory. We also show that, for S3 and RP3, this invariant is equal to the absolute value square of their respective partition functions in SU(2) Chern-Simons theory and give a method of evaluating the latter in a closed form for a class of 3D manifolds, thus in effect obtaining the partition function of three-dimensional gravity for these manifolds. By interpreting the triangulation of a manifold as a graph consisting of crossings and vertices with three lines we also describe a new invariant for certain class of graphs.
Keyword(s):
2004 ◽
Vol 19
(18)
◽
pp. 1365-1378
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):