References
Colin Adams, The non-compact hyperbolic 3-manifold of minimal volume,Proc. Amer. Math. Soc. 100 (1987), 601–606.
Colin Adams, SNAPPEA: The Weeks hyperbolic 3-man- ifolds program,Notices of the Amer. Math. Soc. 37 (1990), 273–275.
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry: I,Math. Proc. Camb. Phil. Soc. 77 (1975), 43–69.
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry: II,Math Proc. Camb. Phil. Soc. 78 (1975), 405–432.
Donald Blackett,Elementary Topology, New York: Academic Press (1967).
Raoul Bott, On the shape of a curve,Adv. in Math. 16 (1975), 144–159.
Fred Gehring and Gavin Martin, Inequalities for Möbius transformations and discrete groups, preprint.
Craig Hodgson, Robert Meyerhoff, and Jeff Weeks, Surgeries on the Whitehead link yield geometrically similar 3-manifolds, to appear inTopology ’90, Proceedings of the Research Semester in Low-dimensional Topology at Ohio State University.
Gareth Jones and David Singerman,Complex functions, Cambridge: Cambridge Univ. Press (1987).
Imre Lakatos,Proofs and refutations, Cambridge: Cambridge Univ. Press (1976).
William Massey,Algebraic Topology: An Introduction, New York: Harcourt, Brace, and World, Inc. (1967).
S. V. Matveev and A. T. Fomenko, Constant energy surfaces of Hamiltonian systems, enumeration of 3-di- mensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds,Russian Math. Surveys 43 (1988), 3–24.
Robert Meyerhoff, Density of the Chern-Simons invariant for hyperbolic 3-manifolds,Low-Dimensional Topology and Kleinian Groups (D. B. A. Epstein, ed.) Cambridge: Cambridge University Press (1986), 217–239.
Robert Meyerhoff and Walter Neumann, An asymptotic formula for then invariants of hyperbolic 3-manifolds, preprint.
Robert Meyerhoff and Daniel Ruberman, Mutation and the Ti invariant,J. Diff. Geometry 31 (1990), 101–130.
Robert Meyerhoff and Daniel Ruberman, Cutting and pasting and the ti invariant,Duke Math. J. 61 (1990), 747–761.
Walter Neumann and Don Zagier, Volumes of hyperbolic three-manifolds,Topology 24 (1985), 307–332.
Dale Rolfsen,Knots and Links, Berkeley: Publish or Perish (1976).
William Thurston,The geometry and topology of 3-manifolds, Princeton Univ. preprint (1978).
William Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry,Bull. Amer. Math. Soc. (2)6 (1982), 357–381.
Jeffrey Weeks,Hyperbolic structures on 3-manifolds, Princeton Univ. Ph.D. thesis (1985).
Jeffrey Weeks,The Shape of Space, New York and Basel: Marcel Dekker, Inc. (1985).
Tomoyoshi Yoshida, Then invariant of hyperbolic 3- manifolds,Inventiones Math. 81 (1985), 473–514.
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Meyerhoff, R. Geometrie invariants for 3-manifolds. The Mathematical Intelligencer 14, 37–53 (1992). https://doi.org/10.1007/BF03024140
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DOI: https://doi.org/10.1007/BF03024140