Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf Algebras and Invariants of the Johnson Cokernel   We show that if H is a cocommutative Hopf algebra, then there is a natural
action of Aut(F_n) on the nth tensor power of H which induces an Out(F_n)
action on a quotient \overline{H^{\otimes n}}. In the case when H=T(V) is the
tensor algebra, we show that the invariant Tr^C of the cokernel of the Johnson
homomorphism studied in [J. Conant, The Johnson cokernel and the Enomoto-Satoh
invariant, Algebraic and Geometric Topology, 15 (2015), no. 2, 801--821.]
projects to take values in the top dimensional cohomology of Out(F_n) with
coefficients in \overline{H^{\otimes n}}. We analyze the n=2 case, getting
large families of obstructions generalizing the abelianization obstructions of
[J. Conant, M. Kassabov, K. Vogtmann, Higher hairy graph homology, Journal of
Topology, Geom. Dedicata 176 (2015), 345--374.].

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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th