5 papers
On the Morita invariance of Categorical Enumerative Invariants
Lino Amorim, Junwu Tu
Categorical Enumerative Invariants (CEI) are invariants associated with a unital, cyclic, smooth -category and a splitting of its non-commutative Hodge filtration. In thi…
Ungraded matrix factorizations as mirrors of non-orientable Lagrangians
Lino Amorim, Cheol-Hyun Cho
We introduce the notion of ungraded matrix factorization as a mirror of non-orientable Lagrangian submanifolds. An ungraded matrix factorization of a polynomial , with coefficie…
The inverse function theorem for curved L-infinity spaces
Lino Amorim, Junwu Tu
In this paper we prove an inverse function theorem in derived differential geometry. More concretely, we show that a morphism of curved spaces which is a quasi-isomorphi…
Big Quantum cohomology of orbifold spheres
Lino Amorim, Cheol-Hyun Cho, Hansol Hong +1
We construct a Kodaira-Spencer map from the big quantum cohomology of a sphere with three orbifold points to the Jacobian ring of the mirror Landau-Ginzburg potential function. Thi…
Categorical primitive forms of Calabi-Yau -categories with semi-simple cohomology
Lino Amorim, Junwu Tu
We study categorical primitive forms for Calabi--Yau categories with semi-simple Hochschild cohomology. We classify these primitive forms in terms of certain grading ope…