Volume 11, issue 2 (2007)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Cutting and pasting in the Torelli group

Andrew Putman

Geometry & Topology 11 (2007) 829–865
Bibliography
1 M A Armstrong, On the fundamental group of an orbit space, Proc. Cambridge Philos. Soc. 61 (1965) 639 MR0187244
2 J S Birman, Mapping class groups and their relationship to braid groups, Comm. Pure Appl. Math. 22 (1969) 213 MR0243519
3 J S Birman, On Siegel's modular group, Math. Ann. 191 (1971) 59 MR0280606
4 J S Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies 82, Princeton University Press (1974) MR0375281
5 S Gervais, A finite presentation of the mapping class group of a punctured surface, Topology 40 (2001) 703 MR1851559
6 P Gold, On the mapping class and symplectic modular group, PhD thesis, New York University (1961)
7 A J Hahn, O T O’Meara, The classical groups and $K$-theory\rm , with a foreword by J Dieudonné, Grundlehren series 291, Springer (1989) MR1007302
8 R M Hain, Torelli groups and geometry of moduli spaces of curves, from: "Current topics in complex algebraic geometry (Berkeley, CA, 1992/93)", Math. Sci. Res. Inst. Publ. 28, Cambridge Univ. Press (1995) 97 MR1397061
9 J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. $(2)$ 121 (1985) 215 MR786348
10 W J Harvey, Geometric structure of surface mapping class groups, from: "Homological group theory (Proc. Sympos., Durham, 1977)" (editor C T C Wall), London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press (1979) 255 MR564431
11 N V Ivanov, Complexes of curves and Teichmüller modular groups, Uspekhi Mat. Nauk 42 (1987) 49, 255 MR896878
12 N V Ivanov, Subgroups of Teichmüller modular groups, Translations of Mathematical Monographs 115, Amer. Math. Soc. (1992) MR1195787
13 D L Johnson, A survey of the Torelli group, from: "Low-dimensional topology (San Francisco, CA, 1981)", Contemp. Math. 20, Amer. Math. Soc. (1983) 165 MR718141
14 D L Johnson, The structure of the Torelli group. I. A finite set of generators for $\cal{I}$, Ann. of Math. $(2)$ 118 (1983) 423 MR727699
15 D L Johnson, The structure of the Torelli group. II. A characterization of the group generated by twists on bounding curves, Topology 24 (1985) 113 MR793178
16 D L Johnson, The structure of the Torelli group. III. The abelianization of $\mathcal T$, Topology 24 (1985) 127 MR793179
17 H Klingen, Charakterisierung der Siegelschen Modulgruppe durch ein endliches System definierender Relationen, Math. Ann. 144 (1961) 64 MR0133303
18 W Magnus, Über $n$-dimensionale Gittertransormationen, Acta. Math. 64 (1934) 353
19 J Powell, Two theorems on the mapping class group of a surface, Proc. Amer. Math. Soc. 68 (1978) 347 MR0494115
20 B van den Berg, On the Abelianization of the Torelli group, PhD thesis, University of Utrecht (2003)