Geometry & Topology Volume 21, issue 2 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

The codimension-one cohomology of $\mathrm{SL}_n \mathbb{Z}$

Thomas Church and Andrew Putman

Geometry & Topology 21 (2017) 999–1032

DOI: 10.2140/gt.2017.21.999

Bibliography

1	A Ash, L Rudolph, The modular symbol and continued fractions in higher dimensions, Invent. Math. 55 (1979) 241 MR553998
2	A Borel, Stable real cohomology of arithmetic groups, Ann. Sci. École Norm. Sup. 7 (1974) 235 MR0387496
3	A Borel, J P Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973) 436 MR0387495
4	K S Brown, Buildings, Springer (1989) MR969123
5	K S Brown, Cohomology of groups, 87, Springer (1994) MR1324339
6	V A Bykovskiĭ, Generating elements of the annihilating ideal for modular symbols, Funktsional. Anal. i Prilozhen. 37 (2003) 27 MR2083229
7	T Church, B Farb, A Putman, A stability conjecture for the unstable cohomology of SL_nℤ, mapping class groups, and Aut(F_n), from: "Algebraic topology: applications and new directions" (editors U Tillmann, S Galatius, D Sinha), Contemp. Math. 620, Amer. Math. Soc. (2014) 55 MR3290086
8	T Church, B Farb, A Putman, Integrality in the Steinberg module and the top-dimensional cohomology of _n(𝒪_K), preprint (2015) arXiv:1501.01307v1
9	M Day, A Putman, On the second homology group of the Torelli subgroup of (F_n), preprint (2014) arXiv:1408.6242v3
10	D C Isaksen, A cohomological viewpoint on elementary school arithmetic, Amer. Math. Monthly 109 (2002) 796 MR1933702
11	R Lee, R H Szczarba, On the homology and cohomology of congruence subgroups, Invent. Math. 33 (1976) 15 MR0422498
12	H Maazen, Homology stability for the general linear group, PhD thesis, University of Utrecht (1979)
13	J I Manin, Parabolic points and zeta functions of modular curves, Izv. Akad. Nauk SSSR Ser. Mat. 36 (1972) 19 MR0314846
14	D Quillen, Homotopy properties of the poset of nontrivial p–subgroups of a group, Adv. in Math. 28 (1978) 101 MR493916
15	E C Zeeman, Relative simplicial approximation, Proc. Cambridge Philos. Soc. 60 (1964) 39 MR0158403