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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.02042 |
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Table of Contents:
- We study the minimal $q$-exponent $Δ$ in the BPS $q$-series $\widehat{Z}$ of negative definite plumbed 3-manifolds equipped with a spin$^{\rm c}$-structure. We express $Δ$ of Seifert manifolds in terms of an invariant commonly used in singularity theory. We provide several examples illustrating the interesting behaviour of $Δ$ for non-Seifert manifolds. Finally, we compare $Δ$ invariants with correction terms in Heegaard-Floer homology.