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 …

The Witten $ r $-spin class defines a non-semisimple cohomological field theory.
Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two …

THE GORENSTEIN PROPERTY AND PIXTON’S CONJECTURE FOR COMPACT TYPE
MODULI 1. Introduction 1.1. The tautological ring. Let M g,n Page 1 THE GORENSTEIN …

We prove that every degree-g polynomial in the ψ-classes on M‾ g, n can be expressed as a
sum of tautological classes supported on the boundary with no κ-classes. Such equations …

We report here an extension of a previous work in which we have shown that matrix models
provide a tool to compute the intersection numbers of p-spin curves. We discuss further an …

We prove that a curious generating series identity implies Faber's intersection number
conjecture (by showing that it implies a combinatorial identity already given in (Garcia …

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 …

We use Pixton's relations to prove a reconstruction theorem for genus 2 Gromov-Witten
invariants in the style of Kontsevich-Manin (genus 0) and Getzler (genus 1). We also …