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math.GT2024
On the Burde--de Rham theorem for finitely presented pro- groups
Yasushi Mizusawa, Ryoto Tange, Yuji Terashima
We consider the Burde--de Rham theorem for finitely presented pro- groups under the assumption that the total degrees of all relators are . We also give some concrete example…
math.GT2024
Quantum master equation and Hodge correlators
Hisatoshi Kodani, Yuji Terashima
We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs…
math.QA2024★ 1 cited
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun +2
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butt…