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arxiv: math/9712225 · v1 · submitted 1997-12-04 · 🧮 math.GT

Rationality problems for Chern-Simons invariants

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keywords chern-simonsconjectureshyperbolicinvariantsobservationsrationalityregardingalgebraic
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This paper makes certain observations regarding some conjectures of Milnor and Ramakrishnan in hyperbolic geometry and algebraic K-theory. As a consequence of our observations, we obtain new results and conjectures regarding the rationality and irrationality of Chern-Simons invariants of hyperbolic 3-manifolds.

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