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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2412.02042 |
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| _version_ | 1866908610450161664 |
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| author | Harichurn, Shimal Némethi, András Svoboda, Josef |
| author_facet | Harichurn, Shimal Némethi, András Svoboda, Josef |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $Δ$ Invariants of Plumbed Manifolds Harichurn, Shimal Némethi, András Svoboda, Josef Geometric Topology 57K31, 57K16, 14B05 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. |
| title | $Δ$ Invariants of Plumbed Manifolds |
| topic | Geometric Topology 57K31, 57K16, 14B05 |
| url | https://arxiv.org/abs/2412.02042 |