Abstract:
From physics perspective, Gukov(-Pei)-Putrov-Vafa have introduced a non-perturbative definition of complex Chern-Simons invariants of a 3-manifold, which is called BPS q-series. Although its mathematical definition is not given yet, it exhibit remarkable mathematical properties: (non-semisimple) TQFT structure, modularity, cyclotomic expansions. In this talk, I will survey the recent development of the BPS q-series.
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