Refined and Generalized Ẑ Invariants for Plumbed 3-Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Ri, Song Jin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211873
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Refined and Generalized Ẑ Invariants for Plumbed 3-Manifolds. Song Jin Ri. SIGMA 19 (2023), 011, 27 pages

We introduce a two-variable refinement Ẑₐ(, ) of plumbed 3-manifold invariants Ẑₐ(), which were previously defined for weakly negative definite plumbed 3-manifolds. We also provide several explicit examples in which we argue the recovering process to obtain Ẑₐ() from Ẑₐ(, ) by taking a limit → 1. F...