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
Datum:2025
Hauptverfasser: Harichurn, Shimal, Némethi, András, Svoboda, Josef
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2025
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
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Zusammenfassung: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.
ISSN:1815-0659