Refined and Generalized Ẑ Invariants for Plumbed 3-Manifolds

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2023
• Автор: Ri, Song Jin
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2023
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211873
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...