2021•arXiv (Cornell University)Open access

Coefficients of the $Σ_3$-equivariant complex cobordism ring

Po Hu, Igor Kříž, Yunze Lu

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Abstract

In this paper, we calculate the coefficient ring of equivariant Thom complex cobordism for the symmetric group on three elements. We also make some remarks on general methods of calculating certain pullbacks of rings which typically occur in calculations of equivariant cobordism.

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What this paper is about

In this paper, we calculate the coefficient ring of equivariant Thom complex cobordism for the symmetric group on three elements. We also make some remarks on general methods of calculating certain pullbacks of rings which typically occur in calculations of equivariant cobordism.

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Available abstract

In this paper, we calculate the coefficient ring of equivariant Thom complex cobordism for the symmetric group on three elements. We also make some remarks on general methods of calculating certain pullbacks of rings which typically occur in calculations of equivariant cobordism.

Key concepts: Equivariant map, Cobordism, Ring (chemistry), Mathematics, Pure mathematics, Chemistry, Organic chemistry

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