We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–
Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of …

We establish new universal equations for higher genus Gromov–Witten invariants of target
manifolds, by studying both the Chern character and Chern classes of the Hodge bundle on …

In this paper, we study the genus two G-function which was introduced by Dubrovin, Liu and
Zhang for the cubic elliptic orbifold. As results, we first prove the quasi-modularity for the …

Abstract We employ the $1/2$-spin tautological relations to provide a particular
combinatorial identity. We show that this identity is a statement equivalent to Faber's formula …

While the Chow groups of 0-dimensional cycles on the moduli spaces of Deligne-Mumford
stable pointed curves can be very complicated, the span of the 0-dimensional tautological …

Cycles of curves, cover counts, and central invariants Page 1 Cycles of curves, cover counts,
and central invariants Academisch proefschrift ter verkrijging van de graad van doctor aan de …

This thesis contains two research papers. The main objects of interest are moduli spaces of
sheaves and curves on Calabi–Yau spaces, eg K3 surfaces and Calabi–Yau 3-folds. In the …

In this paper, we study the basic structures of degree-g topological recursion relations on the
moduli space of curves Mg, n:(i) The coefficient of the bouquet class on Mg, n, which gives …