6 papers · 1 filter
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…
On the intersection theory of moduli spaces of parabolic bundles
Miguel Moreira
This paper concerns the intersection numbers of tautological classes on moduli spaces of parabolic bundles on a smooth projective curve. We show that such intersection numbers are…
On the Chern filtration for the moduli of bundles on curves
Woonam Lim, Miguel Moreira, Weite Pi
We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological c…
Virasoro constraints and representations for quiver moduli spaces
Woonam Lim, Miguel Moreira
We study the Virasoro constraints for moduli spaces of representations of quiver with relations by Joyce's vertex algebras. Using the framed Virasoro constraints, we construct a re…
Cohomology rings of the moduli of one-dimensional sheaves on the projective plane
Yakov Kononov, Woonam Lim, Miguel Moreira +1
We initiate a systematic study on the cohomology rings of the moduli stack of semistable one-dimensional sheaves on the projective plane. We introduce a set of…