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Witt invariants from q-series $\hat{Z}$

Published 4 Apr 2022 in math.GT, hep-th, math-ph, math.MP, and math.QA | (2204.02794v2)

Abstract: We present a relation between the Witt invariants of 3-manifolds and the $\hat{Z}$-invariants. It provides an alternative approach to compute the Witt invariants of 3-manifolds, which were originally defined geometrically in four dimensions. We analyze various homology spheres including a hyperbolic manifold using this method.

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