Cobordism-framed correspondences and the Milnor K-theory

In this work, we compute the $0$th cohomology group of a complex of groups of cobordism-framed correspondences, and prove the isomorphism to Milnor $K$-groups. An analogous result for common framed correspondences has been proved by A. Neshitov in his paper Framed correspondences and the Milnor---Witt $K$-theory. Neshitovs result is, at the same time, a computation of the homotopy groups $pi_{i,i}(S^0)(Spec(k)).$ This work could be used in the future as basis for computing homotopy groups $pi_{i,i}(MGL_{bullet})(Spec(k))$ of the spectrum $MGL_{bullet}.$