{"id":"hexagon/2610.00587","pdf":"https://hexagonmath.org/pdf/2610.00587v1","url":"https://hexagonmath.org/abs/2610.00587v1","tags":["math.RT","msc:13F60","msc:16G20","msc:14F43","quantum cluster algebra"],"score":0,"title":"Lefschetz coefficients of quantum theta functions","domain":"math.QA","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.QA","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-27","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}