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arXiv · 2204.02794

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

John Chae
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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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John Chae. 2023-01-06. Witt invariants from q-series $\hat{Z}$. https://doi.org/10.1007/s11005-022-01629-9

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