3 papers
math.AG2025
From logarithmic Hilbert schemes to degenerations of hyperkähler varieties
Qaasim Shafi, Calla Tschanz
We construct the first examples of good type III degenerations of hyperkähler varieties in dimension greater than 2. These are presented as moduli of 0-dimensional subschemes on ex…
math.AG2025
Refined curve counting with descendants and quantum mirrors
Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
Given a log Calabi--Yau surface , Bousseau has constructed a quantization of the mirror algebra of this pair. We give a formula for structure constants of this quantization…
math.AG2021
The Abelian/non-Abelian Correspondence and Gromov-Witten Invariants of Blow-ups
Tom Coates, Wendelin Lutz, Qaasim Shafi
We prove the Abelian/non-Abelian Correspondence with bundles for target spaces that are partial flag bundles, combining and generalising results by Ciocan-Fontanine-Kim-Sabbah, Bro…