The nonequivariant coherent-constructible correspondence is a microlocal-geometric
interpretation of homological mirror symmetry for toric varieties conjectured by Fang, Liu …

Mirror symmetry for a toric variety involves Laurent polynomials whose symplectic topology
is related to the algebraic geometry of the toric variety. We show that there is a monodromy …

Given a smooth projective toric variety X_ Σ X Σ of complex dimension n, Fang–Liu–
Treumann–Zaslow (Invent Math 186 (1): 79–114, 2011) showed that there is a quasi …

Given a consistent bipartite graph Γ Γ in T^ 2 T 2 with a complex-valued edge weighting EE
we show the following two constructions are the same. The first is to form the Kasteleyn …

Given any equivariant coherent sheaf $\mathcal {L} $ on a compact semi-positive toric
orbifold $\mathcal {X} $, its SYZ T-dual mirror dual is a Lagrangian brane in the Landau …

In this paper we consider the oscillatory integrals on Lefschetz thimbles in the Landau-
Ginzburg model as the mirror of a toric Fano manifold. We show these thimbles represent …

Perverse schobers are categorical analogs of perverse sheaves. Examples arise from
varieties admitting flops, determined by diagrams of derived categories of coherent sheaves …

Let $\Sigma $ be a fan inside the lattice $\mathbb {Z}^ n $, and $\mathcal {E}:\mathbb {Z}^
n\rightarrow\operatorname {Pic}{S} $ be a map of abelian groups. We introduce the notion of …

Categorical Localization for the Coherent-Constructible Correspondence Page 1 Publ. RIMS
Kyoto Univ. 55 (2019), 1–24 DOI 10.4171/PRIMS/55-1-1 Categorical Localization for the …

Recall that homological mirror symmetry, as conjectured by Kontsevich [K], relates the
derived category of coherent sheaves on a (nice) algebraic variety to the Fukaya category of …