Δ Invariants of Plumbed Manifolds
We study the minimal -exponent Δ in the BPS -series Ẑ of negative definite plumbed 3-manifolds equipped with a spinc-structure. We express the Δ of Seifert manifolds in terms of an invariant commonly used in singularity theory. We provide several examples illustrating the interesting behaviour of Δ...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/214193 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Δ Invariants of Plumbed Manifolds. Shimal Harichurn, András Némethi and Josef Svoboda. SIGMA 21 (2025), 091, 21 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724694610804736 |
|---|---|
| author | Harichurn, Shimal Némethi, András Svoboda, Josef |
| author_facet | Harichurn, Shimal Némethi, András Svoboda, Josef |
| citation_txt | Δ Invariants of Plumbed Manifolds. Shimal Harichurn, András Némethi and Josef Svoboda. SIGMA 21 (2025), 091, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the minimal -exponent Δ in the BPS -series Ẑ of negative definite plumbed 3-manifolds equipped with a spinc-structure. We express the 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.
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| first_indexed | 2026-03-21T07:24:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214193 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T07:24:39Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Harichurn, Shimal Némethi, András Svoboda, Josef 2026-02-20T08:00:22Z 2025 Δ Invariants of Plumbed Manifolds. Shimal Harichurn, András Némethi and Josef Svoboda. SIGMA 21 (2025), 091, 21 pages 1815-0659 2020 Mathematics Subject Classification: 57K30; 57K31; 57K16 arXiv:2412.02042 https://nasplib.isofts.kiev.ua/handle/123456789/214193 https://doi.org/10.3842/SIGMA.2025.091 We study the minimal -exponent Δ in the BPS -series Ẑ of negative definite plumbed 3-manifolds equipped with a spinc-structure. We express the 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. We are grateful to Sergei Gukov, Mrunmay Jagadale, and Sunghyuk Park for useful discussions. Wewould also like to thank the anonymous referees for their valuable suggestions. A. Némethi was partially supported by ‘Élvonal (Frontier)’ Grant KKP 144148. J. Svoboda was supported by the Simons Foundation Grant, New structures in low-dimensional topology. S. Harichurn was supported by the 2020 FirstRand FNB Fund Education Scholarship Award and the University of KwaZulu-Natal’s 2024 Vincent Maphai Scholarship Award. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Δ Invariants of Plumbed Manifolds Article published earlier |
| spellingShingle | Δ Invariants of Plumbed Manifolds Harichurn, Shimal Némethi, András Svoboda, Josef |
| title | Δ Invariants of Plumbed Manifolds |
| title_full | Δ Invariants of Plumbed Manifolds |
| title_fullStr | Δ Invariants of Plumbed Manifolds |
| title_full_unstemmed | Δ Invariants of Plumbed Manifolds |
| title_short | Δ Invariants of Plumbed Manifolds |
| title_sort | δ invariants of plumbed manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214193 |
| work_keys_str_mv | AT harichurnshimal δinvariantsofplumbedmanifolds AT nemethiandras δinvariantsofplumbedmanifolds AT svobodajosef δinvariantsofplumbedmanifolds |