Δ Invariants of Plumbed Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Harichurn, Shimal, Némethi, András, Svoboda, Josef
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214193
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Δ Invariants of Plumbed Manifolds. Shimal Harichurn, András Némethi and Josef Svoboda. SIGMA 21 (2025), 091, 21 pages

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...