3 papers
math.AT2024
Smooth Calabi-Yau structures and the noncommutative Legendre transform
Maxim Kontsevich, Alex Takeda, Yiannis Vlassopoulos
We elucidate the relation between smooth Calabi-Yau structures and pre-Calabi-Yau structures. We show that, from a smooth Calabi-Yau structure on an -category , one ca…
math.AG2024
Pre-Calabi-Yau algebras and topological quantum field theories
Maxim Kontsevich, Alex Takeda, Yiannis Vlassopoulos
We introduce a notion generalizing Calabi-Yau structures on A-infinity algebras and categories, which we call pre-Calabi-Yau structures. This notion does not need either one of the…
math.AT2024
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…