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 …

I survey the recent advances in the study of tautological classes on the moduli spaces of
curves. After discussing the Faber-Zagier relations on the moduli spaces of nonsingular …

Representations of vertex operator algebras define sheaves of coinvariants and conformal
blocks on moduli of stable pointed curves. Assuming certain finiteness and semisimplicity …

We prove a conjecture of Pixton, namely that his proposed formula for the double
ramification cycle on M ̄ g, n vanishes in codimension beyond g. This yields a collection of …

We give a proof of Pixton's generalized Faber-Zagier relations in the tautological Chow ring
of $\overline M_ {g, n} $. The strategy is very similar to the work of Pandharipande-Pixton …

In this paper we describe some of the constructions of FJRW theory. We also briefly describe
its relation to Saito-Givental theory via Landau-Ginzburg mirror symmetry and its relation to …

The relations in the tautological ring of the moduli space M_g of nonsingular curves
conjectured by Faber-Zagier in 2000 and extended to the moduli space of stable pointed …

We use relations in the tautological ring of the moduli spaces $\overline {\mathcal {M}} _ {g,
n} $ derived by Pandharipande, Pixton, and Zvonkine from the Givental formula for the $ r …

Using the equivariant virtual cycle of the moduli space of stable maps to $[\mathbb
{C}/\mathbb {Z} _r] $, or equivalently, the vanishing of high-degree Chern classes of a …