From the 1 of 7 linked papers with an AI index.
7 papers
Splitting the Goldman-Turaev Lie bialgebra along a simple separating curve
Liam Ashton, Manuel Rivera
The paper introduces double Lie bimodules and uses them to decompose the Goldman‑Turaev Lie bialgebra of a surface when the surface is cut along a simple separating closed curve.
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…
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…
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…
Equivariant Homotopy Theory via Simplicial Coalgebras
SofÃa MartÃnez 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…