As announced in Gross and Siebert (in Algebraic geometry: Salt Lake City 2015,
Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS, Providence, pp 199–230 …

We construct relative Gromov--Witten theory with expanded degenerations in the normal
crossings setting and establish a degeneration formula for the resulting invariants. Given a …

We construct “quantum theta bases,” extending the set of quantum cluster monomials, for
various versions of skew-symmetric quantum cluster algebras. These bases consist …

Abstract Gross, Pandharipande and Siebert have shown that the 2–dimensional Kontsevich–
Soibelman scattering diagrams compute certain genus-zero log Gromov–Witten invariants of …

Using degeneration techniques, we prove the correspondence of tropical curve counts and
log Gromov-Witten invariants with general incidence and psi-class conditions in toric …

We show that a purely algebraic structure, a two-dimensional scattering diagram, describes
a large part of the wall-crossing behavior of moduli spaces of Bridgeland semistable objects …

We examine the logarithmic Gromov–Witten cycles of a toric variety relative to its full toric
boundary. The cycles are expressed as products of double ramification cycles and natural …

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 …

We prove aq-refined tropical correspondence theorem for higher genus descendant
logarithmic Gromov–Witten invariants with a λ g class in toric surfaces. Specifically, a …

Consider a log Calabi-Yau pair $(X, D) $ consisting of a smooth del Pezzo surface $ X $ of
degree $\geq 3$ and a smooth anticanonical divisor $ D $. We prove a correspondence …