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

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.

final preprint version

References in corpus (3)

• Quantum Invariant, Modular Form, and Lattice Points
• Cobordism invariants from BPS q-series
• Knot Complement, ADO-Invariants and their Deformations for Torus Knots

Cited by in corpus (2)

• A supergroup series for knot complements
• On the ${\Delta }_a$ invariants in non-perturbative complex Chern-Simons theory