Coefficients of the ${\Sigma }_3$-equivariant complex cobordism ring

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.

This article was first written in November 2018. The present version contains some minor corrections