A bstract Göttsche-Nakajima-Yoshioka K-theoretic blowup equations characterize the
Nekrasov partition function of five dimensional\(\mathcal {N}= 1\) supersymmetric gauge …

We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact
Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which …

We reconstruct all-genus Fan–Jarvis–Ruan–Witten invariants of a Fermat cubic Landau–
Ginzburg space (x 1 3+ x 2 3+ x 3 3:[ℂ 3∕ μ 3]→ ℂ) from genus-one primary invariants …

Using predictions in mirror symmetry, Căldăraru, He, and Huang recently formulated a
“Moonshine Conjecture at Landau-Ginzburg points”[arXiv: 2107.12405, 2021] for Klein's …

We introduce Virasoro operators for any Landau-Ginzburg pair (W, G) where W is a non-
degenerate quasi-homogeneous polynomial and G is a certain group of diagonal …

We formulate a conjecture predicting unexpected relationships among the coefficients of the
elliptic expansions of Klein's modular j-function around j= 0 and j= 1728. Our conjecture is …

We study one-parameter deformations of Calabi-Yau type Fermat polynomial singularities
along degree-one directions. We show that twisted sectors in the vanishing cohomology are …

The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period
integrals. In this work we give different realizations and interpretations of the extra solution …

We consider the orbifold curve that is a quotient of an elliptic curve E by a cyclic group of
order 4. We develop a systematic way to obtain a Givental-type reconstruction of Gromov …

Categorical enumerative invariants (CEI) constitute a specific class of invariants associated
with a smooth, proper, and cyclic A∞-algebra and a splitting of its non-commutative Hodge …