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تسجيل مستخدم جديدRozansky-Witten geometry of Coulomb branches and logarithmic knot invariants
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By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of $q$-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants.
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The paper has two parts, in the first part, we apply the localisation technique to the Rozansky-Witten theory on compact HyperKahler targets. We do so via first reformulating the theory as some supersymmetric sigma-model. We obtain the exact formula
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