Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new construction of lens spaces   Let $T^n$ be the real $n$-torus group. We give a new definition of lens
spaces and study the diffeomorphic classification of lens spaces. We show that
any $3$-dimensional lens space $L(p; q)$ is $T^2$-equivariantly cobordant to
zero. We also give some sufficient conditions for higher dimensional lens
spaces $L(p; q_1, \ldots, q_n)$ to be $T^{n+1}$-equivariantly cobordant to
zero. In 2005, B. Hanke showed that complex equivariant cobordism class of a
lens space is trivial. Nevertheless, our proofs are constructive using toric
topological arguments.

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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas