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math.NT2026
Quantum modularity of signatures in TQFT and generalized Dedekind sums
Yuya Murakami
We prove the quantum modularity of the signature of -TQFT for a genus 2 surface, which was conjectured by Marché--Masbaum in 2025. Our approach is based on a quan…
math.NT2024
Irreducibility of polynomials defining parabolic parameters of period 3
Junnosuke Koizumi, Yuya Murakami, Kaoru Sano +1
Morton and Vivaldi defined the polynomials whose roots are parabolic parameters for a one-parameter family of polynomial maps. We call these polynomials delta factors. They conject…