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math.AG2021★ 9 cited
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.AG2002★ 8 cited
Quantum Cohomology and Morse Theory on the Loop Space of Toric Varieties
Yiannis Vlassopoulos
On a symplectic manifold , the quantum product defines a complex, one parameter family of flat connections called the A-model or Dubrovin connections. Let denote the par…