We introduce an integral structure in orbifold quantum cohomology associated to the K-
group and the Γˆ-class. In the case of compact toric orbifolds, we show that this integral …

We propose Gamma conjectures for Fano manifolds which can be thought of as a square
root of the index theorem. Studying the exponential asymptotics of solutions to the quantum …

In this paper we consider a conjecture formulated by the second author in occasion of the
1998 ICM in Berlin (arXiv: math/9807034v2). This conjecture states the equivalence, for a …

Let M be an n-dimensional Frobenius manifold. Fix κ∈{1,⋯, n}. Assuming certain invertibility,
Dubrovin introduced the Legendre-type transformation S κ, which transforms M to an n …

We study the space of stability conditions Stab (X) on the non-compact Calabi-Yau threefold
X which is the total space of the canonical bundle of P^ 2. We give a combinatorial …

The first analytic solutions representing baryonic layers living at finite baryon density within a
constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature …

We consider the system of quantum differential equations for a partial flag variety and
construct a basis of solutions in the form of multidimensional hypergeometric functions, that …

This paper, the third in a series, completes our description of all (radial) solutions on C^* C∗
of the tt*-Toda equations 2 (w_i) _ t ̄ t=-e^ 2 (w_ i+ 1-w_ i)+ e^ 2 (w_ i-w_ i-1) 2 (wi) tt¯=-e 2 …

Using results of Gathmann, we prove: if a smooth projective variety X has generically
semisimple (p, p)-quantum cohomology, then the same is true for the blowup of X at any …

Let M be a holonomic algebraic D-module on the affine line, regular everywhere including at
infinity. Malgrange gave a complete description of the Fourier–Laplace transform ̂ M …