From the 1 of 4 linked papers with an AI index.
4 papers
On the Feyzbakhsh-Thomas programme for Fano -folds
Ivan Karpov, Miguel Moreira
The paper derives formulas that express Donaldson‑Thomas invariants counting rank‑r Gieseker‑semistable sheaves on certain Fano threefolds in terms of invariants for rank‑0, pure‑d…
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…
A geometric realization of the asymptotic affine Hecke algebra
Roman Bezrukavnikov, Ivan Karpov, Vasily Krylov
A key tool for the study of an affine Hecke algebra is provided by Springer theory of the Langlands dual group via the realization of as equivariant …