From the 1 of 7 linked papers with an AI index.
5 papers · 1 filter
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…
Algebraic string topology from the neighborhood of infinity
Manuel Rivera, Alex Takeda, Zhengfang Wang
We construct and study an algebraic analogue of the loop coproduct in string topology, also known as the Goresky-Hingston coproduct. Our algebraic setup, which under this analogy t…