Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum modular forms and plumbing graphs of 3-manifolds   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.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th