Alex Takeda

collaborators

3 papers

math.AT2026

Koszulity of a certain dioperad

Alex Takeda

We establish that the dioperad $Y^{(n)}$ , encoding bialgebras with a product of degree zero, a coproduct of degree $(1 - n)$ and a rank three cyclic tensor, which satisfy a deformed…

math.AT2026

Properadic coformality of spheres

Coline Emprin, Alex Takeda

We define a properad $Y_{\infty}^{(n)}$ that encodes $n$ -pre-Calabi--Yau algebras with vanishing copairing. These algebras include chains on the based loop space of any space $X$ end…

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…