Equivariant algebraic cobordism (Q2865902)

The authors extend Levine-Morel theory of algebraic cobordism [\textit{M. Levine} and \textit{F. Morel}, Algebraic cobordism. Berlin: Springer (2007; Zbl 1188.14015)], see also [\textit{M. Levine} and \textit{R. Pandharipande}, Invent. Math. 176, No. 1, 63--130 (2009; Zbl 1210.14025)] to the equivariant setting. This result has also been obtained with a different method in an independant paper of \textit{A. Krishna} [Doc. Math., J. DMV 17, 95--134 (2012; Zbl 1246.14016)]. The main idea, parallel to Edidin-Graham construction of equivariant Chow groups [\textit{D. Edidin} and \textit{W. Graham}, Invent. Math. 131, No. 3, 595--644 (1998; Zbl 0940.14003)], is to define equivariant algebraic cobordism as the limit of cobordisms of finite-dimensional approximations of the homotopic quotient \((X \times EG)/G\) of a \(G\)-scheme \(X\). However, the situation is subtler than in the case of Chow groups because cobordism doesn't stabilize for approximations of the homotopic quotient of sufficiently large dimension.