3 papers
math.AT2025
Koszulity of a certain dioperad
Alex Takeda
We establish that the dioperad , encoding bialgebras with a product of degree zero, a coproduct of degree and a rank three cyclic tensor, which satisfy a deformed…
math.AT2025
String topology via the coHochschild complex and local intersections
Manuel Rivera, Alex Takeda
We construct an algebraic model for the Chas-Sullivan product and the Goresky-Hingston coproduct in string topology. The construction takes as its initial input a simplicial comple…
math.AT2025
Properadic coformality of spheres
Coline Emprin, Alex Takeda
We define a properad that encodes -pre-Calabi--Yau algebras with vanishing copairing. These algebras include chains on the based loop space of any space end…