Volume 16, issue 1 (2012)

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

Volume 26
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

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 Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Small generating sets for the Torelli group

Andrew Putman

Geometry & Topology 16 (2012) 111–125
Bibliography
1 J S Birman, On Siegel's modular group, Math. Ann. 191 (1971) 59 MR0280606
2 T Brendle, B Farb, personal communication
3 K S Brown, Presentations for groups acting on simply-connected complexes, J. Pure Appl. Algebra 32 (1984) 1 MR739633
4 B Farb, Some problems on mapping class groups and moduli space, from: "Problems on mapping class groups and related topics", Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 11 MR2264130
5 B Farb, D Margalit, A Primer on Mapping Class Groups, to be published by Princeton University Press
6 R Hain, Fundamental groups of branched coverings and the Torelli group in genus 3, in preparation
7 A Hatcher, W Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980) 221 MR579573
8 D Johnson, Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant, Math. Ann. 249 (1980) 243 MR579104
9 D Johnson, The structure of the Torelli group. I. A finite set of generators for $\cal{I}$, Ann. of Math. $(2)$ 118 (1983) 423 MR727699
10 D Johnson, A survey of the Torelli group, from: "Low-dimensional topology (San Francisco, Calif., 1981)", Contemp. Math. 20, Amer. Math. Soc. (1983) 165 MR718141
11 D Johnson, The structure of the Torelli group. III. The abelianization of $\mathcal{T}$, Topology 24 (1985) 127 MR793179
12 D Margalit, A Hatcher, Generating the Torelli group, in preparation
13 D McCullough, A Miller, The genus $2$ Torelli group is not finitely generated, Topology Appl. 22 (1986) 43 MR831180
14 G Mess, The Torelli groups for genus $2$ and $3$ surfaces, Topology 31 (1992) 775 MR1191379
15 J Powell, Two theorems on the mapping class group of a surface, Proc. Amer. Math. Soc. 68 (1978) 347 MR0494115
16 A Putman, Cutting and pasting in the Torelli group, Geom. Topol. 11 (2007) 829 MR2302503
17 A Putman, A note on the connectivity of certain complexes associated to surfaces, Enseign. Math. $(2)$ 54 (2008) 287 MR2478089
18 A Putman, An infinite presentation of the Torelli group, Geom. Funct. Anal. 19 (2009) 591 MR2545251
19 J P Serre, Trees, Springer (1980) MR607504
20 W Tomaszewski, A basis of Bachmuth type in the commutator subgroup of a free group, Canad. Math. Bull. 46 (2003) 299 MR1981684