16 citations · 50 across the 11 of their papers we have counts for
11 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…
Exact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry-Mather theory
Lino Amorim, Yong-Geun Oh, Joana Oliveira dos Santos
We construct graph selectors for compact exact Lagrangians in the cotangent bundle of an orientable, closed manifold. The construction combines Lagrangian spectral invariants devel…
Perversely categorified Lagrangian correspondences
Lino Amorim, Oren Ben-Bassat
In this article, we construct a -category of Lagrangians in a fixed shifted symplectic derived stack S. The objects and morphisms are all given by Lagrangians living on various…
The Künneth theorem for the Fukaya algebra of a product of Lagrangians
Lino Amorim
Given a compact Lagrangian submanifold of a symplectic manifold , Fukaya, Oh, Ohta and Ono construct a filtered -algebra , on the cohomology of…
Tensor product of filtered -algebras
Lino Amorim
We define the tensor product of filtered -algebras. establish some of its properties and give a partial description of the space of bounding cochains in the tensor produc…
Tensor product of cyclic A-algebras and their Kontsevich classes
Lino Amorim, Junwu Tu
Given two cyclic A-algebras and , we prove that there exists a cyclic A-algebra structure on their tensor product which is unique up to a cycl…
Floer cohomology of torus fibers and real lagrangians in Fano toric manifolds
Garrett Alston, Lino Amorim
In this article, we consider the Floer cohomology (with coefficients) between torus fibers and the real Lagrangian in Fano toric manifolds. We first investigate the conditio…