We prove a Givental-style mirror theorem for toric Deligne–Mumford stacks X. This
determines the genus-zero Gromov–Witten invariants of X in terms of an explicit …

In this paper we discuss quantization of the Fayet–Iliopoulos parameter in supergravity
theories with altered nonperturbative sectors, which were recently used to argue a fractional …

We define a new height function on rational points of a DM (Deligne–Mumford) stack over a
number field. This generalizes a generalized discriminant of Ellenberg–Venkatesh, the …

We establish the existence of a secondary Reeb orbit set with quantitative action and linking
bounds for any contact form on the standard tight three-sphere admitting the standard …

We prove the existence of the dualizing functor for a separated morphism of algebraic stacks
with affine diagonal; then we explicitly develop duality for compact Deligne-Mumford stacks …

We study the integrable variation of twistor structure associated to any solution of the Toda
lattice with opposite sign. In particular, we give a criterion when it has an integral structure. It …

Using the mirror theorem [15], we give a Landau–Ginzburg mirror description for the big
equivariant quantum cohomology of toric Deligne–Mumford stacks. More precisely, we …

In this short article we discuss quantization of the Fayet-Iliopoulos parameter in supergravity
theories. We argue that, in supergravity, the Fayet-Iliopoulos parameter determines a lift of …

A bstract In this note we construct rigidly supersymmetric gauged sigma models and gauge
theories on certain Einstein four-manifolds, and discuss constraints on these theories. In …

We describe mirror symmetry for weak Fano toric manifolds as an equivalence of filtered
$\mathcal {D} $-modules. We discuss in particular the logarithmic degeneration behavior at …