Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An infinite-rank summand of the homology cobordism group   We show that the three-dimensional homology cobordism group admits an
infinite-rank summand. It was previously known that the homology cobordism
group contains a $\mathbb{Z}^\infty$-subgroup and a $\mathbb{Z}$-summand. Our
proof proceeds by introducing an algebraic variant of the involutive Heegaard
Floer package of Hendricks-Manolescu and Hendricks-Manolescu-Zemke. This is
inspired by an analogous argument in the setting of knot concordance due to the
second author.

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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int