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Mathematics  2013 

Torus cobordism of lens spaces

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Abstract:

Let $T^n$ be the real $n$-torus group. 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 using toric topological arguments.

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