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Title:听q-Opers, QQ-systems and Bethe Ansatz.

补产蝉迟谤补肠迟:听We introduce the notions of听(G,q)-opers and establish a one-to-one correspondence between them and the set of nondegenerate solutions of a system of Bethe Ansatz equations (which are in turn dual to the so-called QQ-system). Additionally we听associate to a听(G,q)-oper a class of meromorphic sections of a听G-bundle, satisfying certain difference equations, which we refer to as generalized听q-Wronskians. We听show that the听QQ-systems and their extensions emerge as the relations between generalized minors, thereby putting the Bethe Ansatz equations in the framework of cluster mutations known in the theory of double Bruhat cells.

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