Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Mori, Akihito, Murakami, Yuya
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211634
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs. Akihito Mori and Yuya Murakami. SIGMA 18 (2022), 034, 20 pages

Gukov-Pei-Putrov-Vafa constructed q-series invariants called homological blocks in a physical way to categorify Witten-Reshetikhin-Turaev (WRT) invariants and conjectured that radial limits of homological blocks are WRT invariants. In this paper, we prove their conjecture for unimodular H-graphs. As...