Comments on Article S1079-6762-95-02003-8

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Comments on article:
Walter D. Neumann; Jun Yang; Invariants from triangulations of hyperbolic 3-manifolds ERA Amer. Math. Soc. 01 (1995), pp. 72-79.

Added May 8, 1996

Comments by the author

Errata

Equation (1) in section 1 has misprints. It reads:

$$[x]-[y]+[\frac yx]-[\frac{1-y^{-1}}{1-x^{-1}}]+[\frac{1-y}{1-x}]=0$$

and should read

$$[x]-[y]+[\frac yx]-[\frac{1-x^{-1}}{1-y^{-1}}]+[\frac{1-x}{1-y}]=0$$

(A similar misprint occurs in the same equation in reference [15]).

Updates to Bibliography

[15] W. D. Neumann, J. Yang: {\it Rationality
problems for $K$-theory and Chern-Simons invariants of
hyperbolic 3-manifolds}, Enseignement Math\-\'em\-at\-ique {\bf 41}
1995), 281--296

[16] W. D. Neumann, J. Yang: {\it Bloch invariants of hyperbolic
3-manifolds}, preprint available at
http://neumann.maths.mu.oz.au/preprints.html

Added February 16, 2001

Updates to Bibliography

[8] A.B. Goncharov, Volumes of hyperbolic manifolds and mixed Tate
motives.  J. Amer. Math. Soc. 12 (1999), no. 2, 569--618.

[16] W. D. Neumann and J. Yang,  Bloch invariants of hyperbolic
3-manifolds, Duke Math. J. 98 (1999), 29--59.