Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological infiniteness of Torelli groups   We prove that rational homology of the Torelli group of genus g is infinite
dimensional, provided g>6. This means that rational homology of the Torelli
space of genus g>6 is infinite dimensional. The Torelli groups with marked
points are also considered. In addition, we prove that rational homology of the
subgroup of the Torelli group of genus g generated by all the Dehn twists along
separating simple closed curves is infinite dimensional for g>2.

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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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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: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci