4 papers
The quantum Hikita conjecture via quasimaps
Hunter Dinkins, Ivan Karpov, Vasily Krylov
We propose a refinement of the quantum Hikita conjecture of Kamnitzer, McBreen, and Proudfoot that bridges the representation theory of Coulomb branches with the enumerative geomet…
On the Feyzbakhsh-Thomas programme for Fano -folds
Ivan Karpov, Miguel Moreira
Let be a Fano -fold with even canonical class which satisfies the generalized Bogomolov-Gieseker inequality, such as . We express Donaldson-Thomas invariants co…
Rationality and symmetry of stable pairs generating series of Fano 3-folds
Ivan Karpov, Miguel Moreira
The generating series of descendent invariants of stable pairs on 3-folds is conjectured to be rational and to satisfy a symmetry. We prove this conjectur…
Generalized K-theoretic invariants and wall-crossing via non-abelian localization
Ivan Karpov, Miguel Moreira
Given an abelian category and a stability condition satisfying appropriate conditions, we define generalized -theoretic invariants and prove that they satisfy wall-crossing form…