9 papers
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…
On the combinatorics of the refined 1-leg DT/PT correspondence
Davide Accadia, Danilo LewaÅski, Sergej Monavari
We provide a new proof of a result of Bessenrodt on the relation among the generating series of reversed plane partitions and skew plane partitions, motivated by the geometric DT/P…
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…
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…
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…
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…