1 |
C Batut, D
Bernardi, H Cohen, M Olivier, Pari-GP |
2 |
S Bloch, Higher
regulators, algebraic $K$–theory, and zeta functions of
elliptic curves, lecture notes, University of California,
Irvine (1978) |
3 |
M Bökstedt, M
Brun, J Dupont, Homology of
$\mathrm{O}(n)$ and $\mathrm{O}^1(1,n)$ made discrete: an
application of edgewise subdivision, J. Pure Appl.
Algebra 123 (1998) 131 MR1492898 |
4 |
A Borel, Cohomologie
de $\mathrm{SL}_{n}$ et valeurs de fonctions zeta aux points
entiers, Ann. Scuola Norm. Sup. Pisa Cl. Sci. $(4)$ 4
(1977) 613 MR0506168 |
5 |
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 |
6 |
S s Chern, J
Simons, Some cohomology classes in principal fiber
bundles and their application to riemannian geometry, Proc.
Nat. Acad. Sci. U.S.A. 68 (1971) 791 MR0279732 |
7 |
M Dehn, Ueber den
Rauminhalt, Math. Ann. 55 (1901) 465 MR1511157 |
8 |
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 |
9 |
J L Dupont,
Algebra
of polytopes and homology of flag complexes, Osaka J.
Math. 19 (1982) 599 MR676240 |
10 |
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 |
11 |
J L Dupont, W
Parry, C H Sah, Homology of
classical Lie groups made discrete II: $H_ 2,H_3,$ and
relations with scissors congruences, J. Algebra 113
(1988) 215 MR928063 |
12 |
J L Dupont,
C H Sah, Scissors
congruences II, J. Pure Appl. Algebra 25 (1982) 159
MR662760 |
13 |
J L Dupont,
C H Sah, Homology of Euclidean
groups of motions made discrete and Euclidean scissors
congruences, Acta Math. 164 (1990) 1 MR1037596 |
14 |
J L Dupont,
C H Sah, Three questions about simplices in
spherical and hyperbolic 3–space, from: "The Gelfand
Mathematical Seminars, 1996–1999", Gelfand Math. Sem.,
Birkhäuser (2000) 49 MR1731633 |
15 |
D B A
Epstein, R C Penner, Euclidean
decompositions of noncompact hyperbolic manifolds, J.
Differential Geom. 27 (1988) 67 MR918457 |
16 |
A Goncharov,
Volumes of
hyperbolic manifolds and mixed Tate motives, J. Amer.
Math. Soc. 12 (1999) 569 MR1649192 |
17 |
O Goodman, Snap |
18 |
D Hilbert,
Mathematical problems, from: "Mathematical developments
arising from Hilbert's problems", Proc. Symp. Pure Math. 28,
Amer. Math. Soc. (1976) |
19 |
B Jessen, The
algebra of polyhedra and the Dehn–Sydler theorem, Math.
Scand. 22 (1968) MR0251633 |
20 |
B Jessen, Zur
Algebra der Polytope, Nachr. Akad. Wiss. Göttingen
Math.-Phys. Kl. II (1972) 47 MR0353150 |
21 |
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 |
22 |
J Milnor, Hyperbolic
geometry: the first 150 years, Bull. Amer. Math. Soc.
$($N.S.$)$ 6 (1982) 9 MR634431 |
23 |
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 |
24 |
W D Neumann,
Extended
Bloch group and the Cheeger–Chern–Simons class, Geom.
Topol. 8 (2004) 413 MR2033484 |
25 |
R Meyerhoff,
W D Neumann, An asymptotic formula
for the eta invariants of hyperbolic 3–manifolds,
Comment. Math. Helv. 67 (1992) 28 MR1144612 |
26 |
W D Neumann,
A W Reid, Arithmetic of hyperbolic
manifolds, from: "Topology '90 (Columbus, OH, 1990)", Ohio
State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 273
MR1184416 |
27 |
W D Neumann,
A W Reid, Amalgamation and
the invariant trace field of a Kleinian group, Math.
Proc. Cambridge Philos. Soc. 109 (1991) 509 MR1094749 |
28 |
W D Neumann, J
Yang, Rationality problems for $K$–theory and
Chern–Simons invariants of hyperbolic 3–manifolds, Enseign.
Math. $(2)$ 41 (1995) 281 MR1365848 |
29 |
W D Neumann, J
Yang, Invariants
from triangulations of hyperbolic 3–manifolds,
Electron. Res. Announc. Amer. Math. Soc. 1 (1995) 72 MR1350682 |
30 |
W D Neumann, J
Yang, Bloch
invariants of hyperbolic 3–manifolds, Duke Math. J. 96
(1999) 29 MR1663915 |
31 |
W D Neumann, D
Zagier, Volumes of
hyperbolic three-manifolds, Topology 24 (1985) 307
MR815482 |
32 |
M Ouyang, A simplicial
formula for the $\eta$–invariant of hyperbolic
3–manifolds, Topology 36 (1997) 411 MR1415596 |
33 |
D Ramakrishnan,
Regulators, algebraic cycles, and values of
$L$–functions, from: "Algebraic $K$–theory and algebraic
number theory (Honolulu, HI, 1987)", Contemp. Math. 83, Amer.
Math. Soc. (1989) 183 MR991982 |
34 |
A W Reid,
A note on
trace-fields of Kleinian groups, Bull. London Math.
Soc. 22 (1990) 349 MR1058310 |
35 |
A Reznikov,
Rationality of secondary classes, J. Differential Geom.
43 (1996) 674 MR1412681 |
36 |
C H Sah,
Hilbert's third problem: scissors congruence, Research
Notes in Mathematics 33, Pitman (Advanced Publishing Program)
(1979) MR554756 |
37 |
C H Sah,
Scissors
congruences I: The Gauss–Bonnet map, Math. Scand. 49
(1981) MR661890 |
38 |
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 |
39 |
A A Suslin,
$K_3$ of a field, and the Bloch group, Trudy Mat. Inst.
Steklov. 183 (1990) 180, 229 MR1092031 |
40 |
J P Sydler,
Conditions
nécessaires et suffisantes pour l'équivalence des polyèdres de
l'espace euclidien à trois dimensions, Comment. Math.
Helv. 40 (1965) 43 MR0192407 |
41 |
W P Thurston,
The geometry and topology of 3–manifolds, lecture notes,
Princeton University (1977) |
42 |
W P Thurston,
Hyperbolic
structures on 3–manifolds I: Deformation of acylindrical
manifolds, Ann. of Math. $(2)$ 124 (1986) 203 MR855294 |
43 |
W P Thurston,
Three-dimensional
manifolds, Kleinian groups and hyperbolic geometry,
Bull. Amer. Math. Soc. $($N.S.$)$ 6 (1982) 357 MR648524 |
44 |
J Weeks, Snappea |
45 |
T Yoshida, The $\eta$–invariant of
hyperbolic 3–manifolds, Invent. Math. 81 (1985) 473
MR807069 |
46 |
D Zagier, The
Bloch–Wigner–Ramakrishnan polylogarithm function, Math.
Ann. 286 (1990) 613 MR1032949 |
47 |
D Zagier,
Polylogarithms, Dedekind zeta functions and the algebraic
$K$–theory of fields, from: "Arithmetic algebraic geometry
(Texel, 1989)", Progr. Math. 89, Birkhäuser (1991) 391 MR1085270 |
48 |
V B Zylev, On
the equi-dissectability of two equi-completable polytopes,
Dokl. Akad. Nauk SSSR 161 (1965) 515 MR0177347 |
49 |
V B Zylev,
$G$–composedness and $G$–complementability, Dokl. Akad.
Nauk SSSR 179 (1968) 529 MR0226480 |