Algebraic & Geometric Topology Volume 15, issue 2 (2015)

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ISSN (electronic): 1472-2739

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The Johnson cokernel and the Enomoto–Satoh invariant

James Conant

Algebraic & Geometric Topology 15 (2015) 801–821

DOI: 10.2140/agt.2015.15.801

Bibliography

1	M Asada, H Nakamura, On graded quotient modules of mapping class groups of surfaces, Israel J. Math. 90 (1995) 93 MR1336318
2	J Conant, M Kassabov, Hopf algebras and invariants of the Johnson cokernel, in preparation
3	J Conant, M Kassabov, K Vogtmann, Higher hairy graph homology, to appear in Geom. Dedicata
4	J Conant, M Kassabov, K Vogtmann, Hairy graphs and the unstable homology of $\mathrm{Mod}(g,s)$, $\mathrm{Out}(F_n)$ and $\mathrm{Aut}(F_n)$, J. Topol. 6 (2013) 119 MR3029423
5	H Enomoto, N Enomoto, $\mathrm{Sp}$–irreducible components in the Johnson cokernels of the mapping class groups of surfaces, I, Journal of Lie Theory 24 (2014) 687
6	N Enomoto, T Satoh, New series in the Johnson cokernels of the mapping class groups of surfaces, Algebr. Geom. Topol. 14 (2014) 627 MR3159965
7	W Fulton, J Harris, Representation theory, Graduate Texts in Math. 129, Springer (1991) MR1153249
8	R Hain, Infinitesimal presentations of the Torelli groups, J. Amer. Math. Soc. 10 (1997) 597 MR1431828
9	G James, M Liebeck, Representations and characters of groups, Cambridge Univ. Press (1993) MR1237401
10	D Johnson, A survey of the Torelli group, from: "Low-dimensional topology" (editor S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc. (1983) 165 MR718141
11	M Larsen, A Shalev, Characters of symmetric groups: Sharp bounds and applications, Invent. Math. 174 (2008) 645 MR2453603
12	J Levine, Addendum and correction to: “Homology cylinders: An enlargement of the mapping class group” [Algebr. Geom. Topol. 1 (2001), 243–270], Algebr. Geom. Topol. 2 (2002) 1197 MR1943338
13	S Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math. J. 70 (1993) 699 MR1224104
14	S Morita, Structure of the mapping class groups of surfaces: A survey and a prospect, from: "Proceedings of the Kirbyfest" (editors J Hass, M Scharlemann), Geom. Topol. Monogr. 2 (1999) 349 MR1734418
15	S Morita, T Sakasai, M Suzuki, Slides from presentation at Univ. Tokyo (2013)
16	H Nakamura, Coupling of universal monodromy representations of Galois–Teichmüller modular groups, Math. Ann. 304 (1996) 99 MR1367885
17	Y Roichman, Upper bound on the characters of the symmetric groups, Invent. Math. 125 (1996) 451 MR1400314
18	T Satoh, On the lower central series of the IA–automorphism group of a free group, J. Pure Appl. Algebra 216 (2012) 709 MR2864772