Geodesic
Cobordism-framed correspondences and the Milnor $ K$-theory
Algebra i analiz, Tome 32 (2020) no. 1, pp. 244-264.

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The 0th cohomology group is computed for a complex of groups of cobordism-framed correspondences. In the case of ordinary framed correspondences, an analogous computation was completed by A. Neshitov in his paper "Framed correspondences and the Milnor-Witt $ K$-theory". Neshitov's result is, at the same time, a computation of the homotopy groups $ \pi _{i,i}(S^0)(\mathop {Spec}(k))$, and the present work might be used subsequently as a basis for computing the homotopy groups $ \pi _{i,i}(MGL_{\bullet })(\mathop {Spec}(k))$ of the spectrum $ MGL_{\bullet }$.
Keywords: framed correspondences, $A^1$-homotopy theory, algebraic cobordisms, Milnor $K$-theory. 
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A. Tsybyshev. Cobordism-framed correspondences and the Milnor $ K$-theory. Algebra i analiz, Tome 32 (2020) no. 1, pp. 244-264. http://geodesic.mathdoc.fr/item/AA_2020_32_1_a9/

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