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math.QA — Quantum Algebra

Lefschetz coefficients of quantum theta functions

Contributed by Qiyue Tang

We prove that the coefficients of quantum theta functions in the skew-symmetric setting are characters of finite-dimensional $\mathfrak{sl}_2$ representations. This proves Conjectures 1.4, 2.17 and 3.13 of Davison–Mandel and the two-wall conjecture stated as Conjecture 3.12 in Davison’s ICM 2026 survey.

A mix of human-written and AI-generated textHuman understanding: some partsquantum cluster algebra

Oct 27, 2026PDF ↗View work →

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Lefschetz coefficients of quantum theta functions

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