Consider monotone symplectic manifolds containing a smooth anticanonical divisor.
Contingent on conjectures which relate quantum cohomology to the symplectic cohomology …

The asymptotic behaviour of solutions to the quantum differential equation of a Fano
manifold F defines a characteristic class AF of F, called the principal asymptotic class …

We construct an I-function of the projective bundle P (V) associated with a not necessarily
split vector bundle V\to B as a Fourier transform of the S^ 1-equivariant J-function of the total …

The purpose of this paper is to propose an analogue of Dubrovin's conjecture [15] in a more
general setting. We shall firstly recall the original conjecture of Dubrovin in Section 1. 1. We …

For each Fano threefold, we construct a family of Landau--Ginzburg models which satisfy
many expectations coming from different aspects of mirror symmetry; they are log Calabi …

We study the mixed twistor D-modules associated to meromorphic functions. In particular,
we describe their push-forward and specialization under some situations. We apply the …

We propose a method for computing generating functions of genus-zero invariants of a
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …

Let X be a smooth variety or orbifold and let Z⊆ X be a complete intersection defined by a
section of a vector bundle E→ X. Originally proposed by Givental, quantum Serre duality …

We reframe a collection of well-known comparison results in genus zero Gromov–Witten
theory in order to relate these to integral transforms between derived categories. This …

In this paper, we prove the quantum Serre duality for genus-zero K-theoretic permutation-
invariant Gromov-Witten theory. The formulation of the theorem relies on an extension to the …