Computations of complex equivariant bordism rings

  title={Computations of complex equivariant bordism rings},
We give explicit computations of the coefficients of homotopical complex equivariant cobordism theory MUG, when G is abelian. We present a set of generators which is complete for any abelian group. We present a set of relations which is complete when G is cyclic and which we conjecture to be complete in general. We proceed by first computing the localization of MUG obtained by inverting Euler classes of representations. We then define a family of operations which essentially divide by Euler… CONTINUE READING