Geometry & Topology Volume 10, issue 2 (2006)

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ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

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The integral cohomology of the group of loops

Craig A Jensen, Jon McCammond and John Meier

Geometry & Topology 10 (2006) 759–784

DOI: 10.2140/gt.2006.10.759

Bibliography

1	A Adem, D Cohen, F R Cohen, On representations and $K$–theory of the braid groups, Math. Ann. 326 (2003) 515 MR1992276
2	D J Benson, Representations and cohomology: I, Cambridge Studies in Advanced Mathematics 30, Cambridge University Press (1998) MR1644252
3	M Bestvina, K U Bux, D Margalit, Dimension of the Torelli group for $\mathrm{Out}(\mathbb{F}_n)$, preprint
4	N Brady, J McCammond, J Meier, A Miller, The pure symmetric automorphisms of a free group form a duality group, J. Algebra 246 (2001) 881 MR1872129
5	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1994) MR1324339
6	A Brownstein, R Lee, Cohomology of the group of motions of $n$ strings in 3–space, from: "Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991)", Contemp. Math. 150, Amer. Math. Soc. (1993) 51 MR1234259
7	F Cohen, J Pakianathan, On subgroups of the automorphism group of a free group and associated graded Lie algebras, in preparation
8	D J Collins, Cohomological dimension and symmetric automorphisms of a free group, Comment. Math. Helv. 64 (1989) 44 MR982561
9	D L Goldsmith, The theory of motion groups, Michigan Math. J. 28 (1981) 3 MR600411
10	A Hatcher, Algebraic topology, Cambridge University Press (2002) MR1867354
11	C Jensen, J McCammond, J Meier, The Euler characteristic of the Whitehead automorphism group of a free product, Trans. Amer. Math. Soc, to appear
12	S Krstić, J McCool, The non-finite presentability of $\mathrm{IA}(F_3)$ and $\mathrm{GL}_2(\mathbf{Z}[t,t^{-1}])$, Invent. Math. 129 (1997) 595 MR1465336
13	J McCammond, J Meier, The hypertree poset and the $l^2$–Betti numbers of the motion group of the trivial link, Math. Ann. 328 (2004) 633 MR2047644
14	J McCool, On basis-conjugating automorphisms of free groups, Canad. J. Math. 38 (1986) 1525 MR873421
15	D McCullough, A Miller, Symmetric automorphisms of free products, Mem. Amer. Math. Soc. 122 (1996) MR1329943
16	A Pettet, Finiteness properties for the kernel of pure motions of n unlinked loops arXiv:math.GR/0602148
17	A Pettet, The Johnson homomorphism and the second cohomology of $\mathrm{ IA}_n$, Algebr. Geom. Topol. 5 (2005) 725 MR2153110
18	C Schaper, Suspensions of affine arrangements, Math. Ann. 309 (1997) 463 MR1474201
19	R P Stanley, Enumerative combinatorics Vol. 2, Cambridge Studies in Advanced Mathematics 62, Cambridge University Press (1999) MR1676282