17 citations · 42 across the 23 of their papers we have counts for
26 papers
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…
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…
Comparing dg category models for path spaces via -functors
Manuel Rivera, Yi Wang
We construct a many-object dual version of Chen's iterated integral map. For any topological space X, the construction takes the form of an A-infinity functor between two dg catego…
An algebraic model for the constant loops map
Luis Fernandez, Manuel Rivera, Thomas Tradler
For any simplicial complex with a total ordering of its vertices, one can construct a chain complex generated by necklaces of simplices in , which co…
Equivariant Homotopy Theory via Simplicial Coalgebras
Sofía Martínez Alberga, Manuel Rivera
Given a commutative ring , a --equivalence is a continuous map of spaces inducing an isomorphism on fundamental groups and an -homology equivalence between universal…
Koszul duality and Calabi-Yau structures
Julian Holstein, Manuel Rivera
We show that Koszul duality between differential graded categories and pointed curved coalgebras interchanges smooth and proper Calabi-Yau structures. This result is a generalizati…