We show that the category of coherent sheaves on the toric boundary divisor of a smooth
quasi-projective toric DM stack is equivalent to the wrapped Fukaya category of a …

We develop an analogue of Eisenbud–Fløystad–Schreyer's Tate resolutions for toric
varieties. Our construction, which is given by a noncommutative analogue of a Fourier …

We study homological mirror symmetry for toric varieties, exploring the relationship between
various Fukaya-Seidel categories which have been employed for constructing the mirror to a …

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 …

In this short note, we introduce a new family of non-commutative spaces that we call non-
commutative toric varieties. We also briefly describe some of their main properties. The main …

We introduce a global Landau-Ginzburg model which is mirror to several toric Deligne-
Mumford stacks and describe the change of the Gromov-Witten theories under discrepant …

In a recent article Halpern-Leistner defines the notion of quasi--convergent path in the space
of Bridgeland stability conditions. Such a path induces a semiorthogonal decomposition of …

The mirror P= W conjecture, formulated by Harder-Katzarkov-Przyjalkowski [27], predicts a
correspondence between weight and perverse filtrations in the context of mirror symmetry. In …

Coherent-Constructible Correspondence for toric variety assigns to each $ n $-dimensional
toric variety $ X_\Sigma $ a Lagrangian skeleton $\Lambda_\Sigma\subset T^* T^ n $, such …

We develop a framework relating semiorthogonal decompositions of a triangulated category
$\mathcal {C} $ to paths in its space of stability conditions. We prove that when $\mathcal {C} …