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• W2896874990 abstract "In this paper, we study quantum modular forms in connection to quantum invariants of plumbed 3-manifolds introduced recently by Gukov, Pei, Putrov, and Vafa. We explicitly compute these invariants for any $3$-leg star plumbing graphs whose associated matrix is unimodular and positive definite. For these graphs we confirm a quantum modularity conjecture of Gukov. We also analyze the invariants for general $n$-leg star graphs with unimodular plumbing matrices, and prove that they can be expressed as linear combinations of quantum modular forms." @default.
• W2896874990 created "2018-10-26" @default.
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• W2896874990 date "2018-10-12" @default.
• W2896874990 modified "2023-09-27" @default.
• W2896874990 title "Quantum modular forms and plumbing graphs of 3-manifolds" @default.
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