Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Natural Volumes on Character Varieties and the Turaev-Viro invariant at level Infinity


Speaker: Charlie Frohman, University of Iowa
Location: 693 Kerr
Start time: Wed, Feb 4 2004, 3:10PM

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.