17 citations · 42 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
Cyclic homology of categorical coalgebras and the free loop space
Manuel Rivera, Daniel Tolosa
We prove that the cyclic chain complex of the categorical coalgebra of singular chains on an arbitrary topological space is naturally quasi-isomorphic to the -equivariant…