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Torsion (of a manifold) as a function on the variety of representations (of its fundamental group)

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Dan Burghelea
MPIM / Ohio State
Mit, 19/06/2013 - 10:30 - 12:00
MPIM Lecture Hall

I will describe an invariant for a smooth manifold with some additional topological structure. This will be a meromorphic function on the algebraic set of complex representations of its fundamental group defined using either spectral geometry (of a Riemannian metric) or a triangulation or the dynamics of a nice vector field.

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