Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bordism Invariants of the Mapping Class Group   We define new bordism and spin bordism invariants of certain subgroups of the
mapping class group of a surface. In particular, they are invariants of the
Johnson filtration of the mapping class group. The second and third terms of
this filtration are the well-known Torelli group and Johnson subgroup,
respectively. We introduce a new representation in terms of spin bordism, and
we prove that this single representation contains all of the information given
by the Johnson homomorphism, the Birman-Craggs homomorphism, and the Morita
homomorphism.

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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th