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math.RA2026
Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar construction
Manuel Rivera
We explain how the undecidability of the quasi-isomorphism and derived Morita equivalence problems for semi-free finitely presented dg associative algebras follows as an immediate…
math.GT2026
Splitting the Goldman-Turaev Lie bialgebra along a simple separating curve
Liam Ashton, Manuel Rivera
We introduce the notion of a double Lie bimodule, consisting of a Lie bialgebra L, a Lie L-bimodule P, and a double Lie bracket on P satisfying suitable compatibility conditions. W…