9 citations · 20 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Relative stability conditions on Fukaya categories of surfaces
Alex Takeda
It is shown that there is a useful notion of a relative Bridgeland stability condition on the partially wrapped Fukaya category of a marked surface, relative to some part of the su…
Borel version of the Local Lemma
Endre Csóka, Łukasz Grabowski, András Máthé +2
We prove a Borel version of the local lemma, i.e. we show that, under suitable assumptions, if the set of variables in the local lemma has a structure of a Borel space, then there…