15 citations · 15 across the 7 of their papers we have counts for
9 papers · 1 filter
Motivic and cohomological stabilisation of the Quot scheme of points
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove that the motive of the punctual Quot scheme stabilises, when , to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…
The refined local Donaldson-Thomas theory of curves
Sergej Monavari
We solve the K-theoretically refined Donaldson-Thomas theory of local curves in arbitrary genus and degree. Our results avoid degeneration techniques, but rather exploit direct loc…
Gauge origami on broken lines
Sergej Monavari
In analogy to Nekrasov's theory of gauge origami on intersecting branes, we introduce the gauge origami moduli space on broken lines. We realize this moduli space as a Quot scheme…
Derived hyperquot schemes
Sergej Monavari, Emanuele Pavia, Andrea T. Ricolfi
We define a derived enhancement of the hyperquot scheme (also known as nested Quot scheme), which classically parametrises flags of quotients of a perfect coherent sheaf on a proje…
The motive of the Hilbert scheme of points in all dimensions
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove a closed formula for the generating function of the motives of punctual Hilbert schem…
Hyperquot schemes on curves: virtual class and motivic invariants
Sergej Monavari, Andrea T. Ricolfi
Let be a smooth projective curve, a locally free sheaf. Hyperquot schemes on parametrise flags of coherent quotients of with fixed Hilbert polynomial, and offer alt…