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Integrality of genus- indices with adjoint Reidemeister torsions of twist knots
Ryoto Tange, Yuji Terashima, Yoshikazu Yamaguchi
We consider the sum of the adjoint Reidemeister torsions and prove the integrality for twist knots and the meridian. We also give some concrete examples of the generating functions…
Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Yuji Terashima, Yoshikazu Yamaguchi
We study the conjecture that a sum of the (g-1)st powers of adjoint Reidemeister torsions for a torus knot is an integer. We prove that the conjecture is true for any torus knot an…
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…
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…