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Natural Volumes on Character Varieties and the Turaev-Viro invariant at level Infinity
Geometry/Topology| Speaker: | Charlie Frohman, University of Iowa |
| Location: | 693 Kerr |
| Start time: | Wed, Feb 4 2004, 3:10PM |
Description
If M is an oriented homology three sphere so that every
representation
rho: pi_1(M) --> SU(2) satisfies strong rigidity, then there is an
invariant
volume on the character variety of M that is defined via a Heegaard
splitting. After reviewing the definition of the volume we compute the
total volume of the character variety. The total
volume is the heat kernel regularization of the divergent formula for the
Turaev-Viro invariant of M at level infinity.