#### Volume 8, issue 1 (2004)

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Extended Bloch group and the Cheeger–Chern–Simons class

### Walter D Neumann

Geometry & Topology 8 (2004) 413–474
##### Bibliography
 1 S Baseilhac, R Benedetti, QHI theory II: Dilogarithmic and quantum hyperbolic invariants of 3–manifolds with $\mathrm{PSL}(2,\mathbb{C})$–characters arXiv:math.GT/0211061 2 P J Callahan, M V Hildebrand, J R Weeks, A census of cusped hyperbolic 3–manifolds, Math. Comp. 68 (1999) 321 MR1620219 3 J Cheeger, J Simons, Differential characters and geometric invariants, from: "Geometry and topology (College Park, Md., 1983/84)", Lecture Notes in Math. 1167, Springer (1985) 50 MR827262 4 D Coulson, O A Goodman, C D Hodgson, W D Neumann, Computing arithmetic invariants of 3–manifolds, Experiment. Math. 9 (2000) 127 MR1758805 5 J L Dupont, The dilogarithm as a characteristic class for flat bundles, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 137 MR885101 6 J L Dupont, F W Kamber, Cheeger–Chern–Simons classes of transversally symmetric foliations: dependence relations and eta-invariants, Math. Ann. 295 (1993) 449 MR1204831 7 J L Dupont, C H Sah, Scissors congruences II, J. Pure Appl. Algebra 25 (1982) 159 MR662760 8 J L Dupont, C H Sah, Dilogarithm identities in conformal field theory and group homology, Comm. Math. Phys. 161 (1994) 265 MR1266483 9 D B A Epstein, R C Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67 MR918457 10 O Goodman, Snap 11 R Meyerhoff, Hyperbolic 3–manifolds with equal volumes but different Chern–Simons invariants, from: "Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984)", London Math. Soc. Lecture Note Ser. 112, Cambridge Univ. Press (1986) 209 MR903866 12 R Meyerhoff, W D Neumann, An asymptotic formula for the eta invariants of hyperbolic 3–manifolds, Comment. Math. Helv. 67 (1992) 28 MR1144612 13 W D Neumann, Combinatorics of triangulations and the Chern–Simons invariant for hyperbolic 3–manifolds, from: "Topology '90 (Columbus, OH, 1990)", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 243 MR1184415 14 W D Neumann, Hilbert's 3rd problem and invariants of 3–manifolds, from: "The Epstein birthday schrift", Geom. Topol. Monogr. 1, Geom. Topol. Publ., Coventry (1998) 383 MR1668316 15 W D Neumann, J Yang, Bloch invariants of hyperbolic 3–manifolds, Duke Math. J. 96 (1999) 29 MR1663915 16 W D Neumann, D Zagier, Volumes of hyperbolic three-manifolds, Topology 24 (1985) 307 MR815482 17 W D Neumann, Extended Bloch group and the Cheeger–Chern–Simons class, Geom. Topol. 8 (2004) 413 MR2033484 18 C Petronio, J R Weeks, Partially flat ideal triangulations of cusped hyperbolic 3–manifolds, Osaka J. Math. 37 (2000) 453 MR1772844 19 U Pachner, P.L. homeomorphic manifolds are equivalent by elementary shellings, European J. Combin. 12 (1991) 129 MR1095161 20 C H Sah, Scissors congruences I: The Gauss–Bonnet map, Math. Scand. 49 (1981) MR661890 21 A A Suslin, Algebraic $K$–theory of fields, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)", Amer. Math. Soc. (1987) 222 MR934225 22 J Weeks, Snappea 23 W P Thurston, The geometry and topology of 3–manifolds, mimeographed lecture notes, Princeton University (1977) 24 T Yoshida, The $\eta$–invariant of hyperbolic 3–manifolds, Invent. Math. 81 (1985) 473 MR807069