Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comparison of classes in the Johnson cokernels of the mapping class
  groups of surfaces   In [ES2], the first and the third authors introduced new classes in the
Johnson cokernels of the mapping class groups of surfaces by a representation
theoretic approach based on some previous results for the Johnson cokernels of
the automorphism groups of free groups. On the other hand, in [KK1], Kawazumi
and the second author introduced another type of classes by a topological
consideration of self-intersections of curves on a surface.
  In this paper, we show that the classes found in [KK1] are contained in the
classes found in [ES2] in a stable range. Furthermore, we prove that the
anti-Morita obstructions $[1^{4m+1}]$ for $m \ge 1$ obtained in [ES2] and a
hook-type component $[3,1^5]$ detected in [EE] appear in their gap.

20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio