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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.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…