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Rationality problems for Chern-Simons invariants

Walter D. Neumann, Jun Yang

math.GTarXiv:math/9712225

Abstract

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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