Let $ A=(a_1,\ldots, a_n) $ be a vector of integers which sum to $ k (2g-2+ n) $. The double
ramification cycle $\mathsf {DR} _ {g, A}\in\mathsf {CH}^ g (\mathcal {M} _ {g, n}) $ on the …

Let $ A=(a_1,\ldots, a_n) $ be a vector of integers with $ d=\sum_ {i= 1}^ n a_i $. By partial
resolution of the classical Abel-Jacobi map, we construct a universal twisted double …

We conjecture that the relative Gromov–Witten potentials of elliptic fibrations are (cycle-
valued) lattice quasi-Jacobi forms and satisfy a holomorphic anomaly equation. We prove …

Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …

Let X be a nonsingular projective algebraic variety over C, and let M¯ g, n, β (X) be the
moduli space of stable maps f:(C, x 1,…, xn)→ X from genus g, n‐pointed curves C to X of …

We introduce a simple procedure to integrate differential forms with arbitrary holomorphic
poles on Riemann surfaces. It gives rise to an intrinsic regularization of such singular …

We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …

Let $ S $ be a K3 surface. We study the reduced Donaldson-Thomas theory of the cap
$(S\times\mathbb {P}^ 1)/S_ {\infty} $ by a second cosection argument. We obtain four main …

In this article, we study quasimaps to moduli spaces of sheaves on a $ K3 $ surface S. We
construct a surjective cosection of the obstruction theory of moduli spaces of $\epsilon …

We determine the quantum multiplication with divisor classes on the Hilbert scheme of
points on an elliptic surface $ S\to\Sigma $ for all curve classes which are contracted by the …