Quantum Modular Ẑᴳ-Invariants

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2024
• Автори: Cheng, Miranda C.N., Coman, Ioana, Passaro, Davide, Sgroi, Gabriele
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2024
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212105
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Quantum Modular Ẑᴳ-Invariants. Miranda C.N. Cheng, Ioana Coman, Davide Passaro and Gabriele Sgroi. SIGMA 20 (2024), 018, 52 pages

We study the quantum modular properties of Ẑᴳ-invariants of closed three-manifolds. Higher depth quantum modular forms are expected to play a central role for general three-manifolds and gauge groups 𝐺. In particular, we conjecture that for plumbed three-manifolds whose plumbing graphs have n juncti...