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The extended Bloch group and representations of 3-manifold groups


Speaker: Christian Zickert
Location: 2112 MSB
Start time: Wed, Oct 13 2010, 4:10PM

We discuss parabolic representations of a 3-manifold group into SL(n,C), and show that such representations naturally define elements in Neumann's extended Bloch group. This gives rise to a concrete formula for the volume and Chern-Simons invariant of such representations. Computations show that the volume of an SL(n,C)-representation is often a linear combination of volumes of hyperbolic 3-manifolds.