4 papers
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…
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 e…
Crepant Transformation Conjecture For the Grassmannian Flop
Wendelin Lutz, Qaasim Shafi, Rachel Webb
We prove an explicit form of the Crepant Transformation Conjecture for Grassmannian flops. Our approach uses abelianization to first relate the restrictions of the Lagrangian cones…
Tropical refined curve counting with descendants
Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
We prove a -refined tropical correspondence theorem for higher genus descendant logarithmic Gromov--Witten invariants with a class in toric surfaces. Specifically, a gene…