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

Geometric Topology 2023-01-09 v2 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra

Abstract

We present a relation between the Witt invariants of 3-manifolds and the Z^\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.

Keywords

Cite

@article{arxiv.2204.02794,
  title  = {Witt invariants from q-series $\hat{Z}$},
  author = {John Chae},
  journal= {arXiv preprint arXiv:2204.02794},
  year   = {2023}
}

Comments

final preprint version