1 citations · 2 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
The local/logarithmic correspondence and the degeneration formula for quasimaps
Alberto Cobos Rabano, Cristina Manolache, Qaasim Shafi
We study the relationship between the enumerative geometry of rational curves in local geometries and various versions of maximal contact logarithmic curve counts. Our approach is…
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 gener…
Logarithmic Quasimaps
Qaasim Shafi
We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. W…
Divisors and curves on logarithmic mapping spaces
Patrick Kennedy-Hunt, Navid Nabijou, Qaasim Shafi +1
We determine the rational class and Picard groups of the moduli space of stable logarithmic maps in genus zero, with target projective space relative a hyperplane. For the class gr…
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…