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arXiv:1503.07821 [math.GT]AbstractReferencesReviewsResources

Chern-Simons invariants of 3-manifold groups in SL(4,R)

Thilo Kuessner

Published 2015-03-26Version 1

We compute the Chern-Simons invariants for flat 4-dimensional bundles over hyperbolic 3-manifolds whose monodromy factors over SL(2,C), in particular for those whose monodromy factors over the isomorphism PSL(2,C)=S0(3,1). As an application, 3-manifolds of nonvanishing Chern-Simons invariant have at least three connected components in their SL(4,R) character variety. We also show that there are knots with arbitrarily many components of vanishing Chern-Simons invariant in their SL(n,C) character variety.

Comments: 32 pages, first draft
Categories: math.GT
Subjects: 57M27
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