Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Equivariant Lazard Ring and Tom Dieck's Equivariant Cobordism
  Ring   For a torus G of rank r = 1, we showed that the canonical ring homomorphism
L_G \to MU_G, where L_G is the equivariant Lazard ring and MU_G is the
equivariant cobordism ring introduced by Tom Dieck, is surjective. We also
showed that the completion map MU_G \to \hat{MU}_G = MU(BG) is injective.
Moreover, we showed that the same results hold if we assume a certain algebraic
property holds in L_G when r \geq 2.

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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg