Algebraic & Geometric Topology Volume 16, issue 4 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Hopf algebras and invariants of the Johnson cokernel

Jim Conant and Martin Kassabov

Algebraic & Geometric Topology 16 (2016) 2325–2363

DOI: 10.2140/agt.2016.16.2325

Bibliography

1	N Andruskiewitsch, About finite dimensional Hopf algebras, from: "Quantum symmetries in theoretical physics and mathematics" (editors R Coquereaux, A García, R Trinchero), Contemp. Math. 294, Amer. Math. Soc. (2002) 1 MR1907185
2	H Armstrong, B Forrest, K Vogtmann, A presentation for Aut(F_n), J. Group Theory 11 (2008) 267 MR2396963
3	P Cartier, Groupes algébriques et groupes formels, from: "Colloq Théorie des Groupes Algébriques", Librairie Universitaire (1962) 87 MR0148665
4	J Conant, The Johnson cokernel and the Enomoto–Satoh invariant, Algebr. Geom. Topol. 15 (2015) 801 MR3342677
5	J Conant, The Lie Lie algebra, to appear in Quantum Topol. (2015) arXiv:1505.01192
6	J Conant, M Kassabov, K Vogtmann, Hairy graphs and the unstable homology of Mod(g,s), Out(F_n) and Aut(F_n), J. Topol. 6 (2013) 119 MR3029423
7	J Conant, M Kassabov, K Vogtmann, Higher hairy graph homology, Geom. Dedicata 176 (2015) 345 MR3347586
8	J Conant, K Vogtmann, On a theorem of Kontsevich, Algebr. Geom. Topol. 3 (2003) 1167 MR2026331
9	N Enomoto, T Satoh, New series in the Johnson cokernels of the mapping class groups of surfaces, Algebr. Geom. Topol. 14 (2014) 627 MR3159965
10	W Fulton, J Harris, Representation theory, 129, Springer (1991) MR1153249
11	F Grunewald, A Lubotzky, Linear representations of the automorphism group of a free group, Geom. Funct. Anal. 18 (2009) 1564 MR2481737
12	R Hain, Infinitesimal presentations of the Torelli groups, J. Amer. Math. Soc. 10 (1997) 597 MR1431828
13	A Joyal, R Street, The geometry of tensor calculus, I, Adv. Math. 88 (1991) 55 MR1113284
14	M Kassabov, A Patotski, Hopf algebras and representation varieties, in preparation
15	B Kostant, Graded manifolds, graded Lie theory, and prequantization, from: "Differential geometrical methods in mathematical physics" (editors K Bleuler, A Reetz), Lecture Notes in Math. 570, Springer (1977) 177 MR0580292
16	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
17	J L Loday, Cyclic homology, 301, Springer (1998) MR1600246
18	J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
19	I G Macdonald, Symmetric functions and Hall polynomials, Oxford University Press (1995) MR1354144
20	J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965) 211 MR0174052
21	S Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math. J. 70 (1993) 699 MR1224104
22	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
23	M E Sweedler, Hopf algebras, W. A. Benjamin (1969) MR0252485
24	V Turchin, T Willwacher, Hochschild–Pirashvili homology on suspensions and representations of Out(F_n), preprint (2015) arXiv:1507.08483
25	J Weyman, Cohomology of vector bundles and syzygies, 149, Cambridge Univ. Press (2003) MR1988690