|
Geometry & Topology Monographs 13
(2008) 335–354
|
| 1 |
J Conant, Ornate
necklaces and the homology of the genus one mapping class
group, to appear in Bull. London Math. Soc. arXiv:math.QA/0610143 |
| 2 |
J Conant, K
Vogtmann, On a theorem of
Kontsevich, Algebr. Geom. Topol. 3 (2003)
1167–1224 MR2026331 |
| 3 |
J Conant, K
Vogtmann, Morita classes in
the homology of automorphism groups of free groups,
Geom. Topol. 8 (2004) 1471–1499 MR2119302 |
| 4 |
J Conant, K
Vogtmann, Morita classes in the homology of
Aut(Fn) vanish after one stabilization, Groups,
Geometry, and Dynamics 2 (2008) 121–138 |
| 5 |
M Culler, K
Vogtmann, Moduli of graphs and
automorphisms of free groups, Invent. Math. 84 (1986)
91–119 MR830040 |
| 6 |
W Fulton, J
Harris, Representation theory, Graduate Texts in
Mathematics 129, Springer (1991) MR1153249
A first course, Readings in Mathematics |
| 7 |
E Getzler, Resolving
mixed Hodge modules on configuration spaces, Duke Math.
J. 96 (1999) 175–203 MR1663927 |
| 8 |
R Hain, Infinitesimal
presentations of the Torelli groups, J. Amer. Math.
Soc. 10 (1997) 597–651 MR1431828 |
| 9 |
J Harer, D
Zagier, The Euler characteristic
of the moduli space of curves, Invent. Math. 85 (1986)
457–485 MR848681 |
| 10 |
K Igusa, Graph cohomology
and Kontsevich cycles, Topology 43 (2004)
1469–1510 MR2081433 |
| 11 |
D Johnson, An abelian quotient of
the mapping class group \cal Ig, Math. Ann.
249 (1980) 225–242 MR579103 |
| 12 |
D Johnson, A survey
of the Torelli group, from: "Low-dimensional topology (San
Francisco, CA, 1981)", Contemp. Math. 20, Amer. Math. Soc.
(1983) 165–179 MR718141 |
| 13 |
M Kassabov, On the
automorphism tower of free nilpotent groups, PhD thesis,
Yale University (2003) |
| 14 |
N Kawazumi, S
Morita, The primary approximation to the cohomology of
the moduli space of curves and cocycles for the stable
characteristic classes, Math. Res. Lett. 3 (1996)
629–641 MR1418577 |
| 15 |
N Kawazumi, S
Morita, The primary approximation to the cohomology of
the moduli space of curves and cocycles for the
Mumford-Morita-Miller classes, preprint |
| 16 |
M Kontsevich,
Formal (non)commutative symplectic geometry, from: "The
Gel'fand Mathematical Seminars, 1990–1992",
Birkhäuser (1993) 173–187 MR1247289 |
| 17 |
M Kontsevich,
Feynman diagrams and low-dimensional topology, from:
"First European Congress of Mathematics, Vol. II (Paris,
1992)", Progr. Math. 120, Birkhäuser (1994) 97–121
MR1341841 |
| 18 |
E Looijenga,
Cohomology of M3 and
M13, from: "Mapping class groups and
moduli spaces of Riemann surfaces (Göttingen,
1991/Seattle, WA, 1991)", Contemp. Math. 150, Amer. Math. Soc.
(1993) 205–228 MR1234266 |
| 19 |
I Madsen, M
Weiss, The stable moduli space of Riemann surfaces:
Mumford's conjecture, Ann. of Math. (2) 165 (2007)
843–941 MR2335797 |
| 20 |
G Mondello,
Combinatorial
classes on \overlineM g,n are tautological, Int. Math.
Res. Not. (2004) 2329–2390 MR2078260 |
| 21 |
S Morita, On
the structure and the homology of the Torelli group,
Proc. Japan Acad. Ser. A Math. Sci. 65 (1989) 147–150
MR1011856 |
| 22 |
S Morita, Mapping
class groups of surfaces and three-dimensional manifolds,
from: "Proceedings of the International Congress of
Mathematicians, Vol. I, II (Kyoto, 1990)", Math. Soc. Japan
(1991) 665–674 MR1159253 |
| 23 |
S Morita, Abelian
quotients of subgroups of the mapping class group of
surfaces, Duke Math. J. 70 (1993) 699–726
MR1224104 |
| 24 |
S Morita, A linear
representation of the mapping class group of orientable
surfaces and characteristic classes of surface bundles,
from: "Topology and Teichmüller spaces (Katinkulta,
1995)", World Sci. Publ., River Edge, NJ (1996) 159–186
MR1659679 |
| 25 |
S Morita, Structure
of the mapping class groups of surfaces: a survey and a
prospect, from: "Proceedings of the Kirbyfest (Berkeley,
CA, 1998)" (editors J Hass, M Scharlemann), Geom. Topol.
Monogr. 2 (1999) 349–406 MR1734418 |
| 26 |
S Morita, Structure
of the mapping class group and symplectic representation
theory, from: "Essays on geometry and related topics, Vol.
1, 2", Monogr. Enseign. Math. 38, Enseignement Math. (2001)
577–596 MR1929340 |
| 27 |
S Morita,
Cohomological structure of the mapping class group and
beyond, from: "Problems on mapping class groups and related
topics", Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006)
329–354 MR2264550 |
| 28 |
S Morita, R
Penner, Torelli groups, extended Johnson homomorphisms,
and new cycles on the moduli space of curves, to appear in
Math. Proc. Cambridge Phil. Soc. arXiv:math.GT/0602461 |
| 29 |
R C Penner,
Perturbative series and the moduli space of Riemann
surfaces, J. Differential Geom. 27 (1988) 35–53
MR918455 |
| 30 |
O Tommasi, Rational
cohomology of the moduli space of genus 4 curves,
Compos. Math. 141 (2005) 359–384 MR2134272 |
