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math.AG2025
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…
math.AG2025
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…
math.CO2025
Enumeration of partitions via socle reduction
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We study the enumeration problem of higher dimensional partitions, a natural generalisation of classical integer partitions. We show that their counting problem is equivalent to th…