Publications by Sergej Monavari

Hyperquot schemes on curves: virtual class and motivic invariants

Let C be a smooth projective curve, E a locally free sheaf. Hyperquot schemes on C parametrise flags of coherent quotients of E with fixed Hilbert polynomial, and offer alternative compactifications to the spaces of maps from C to partial flag varieties. M ...

SPRINGER HEIDELBERG2025

Tetrahedron instantons in Donaldson-Thomas theory

Sergej Monavari

We construct a virtual fundamental class and virtual structure sheaf à la Oh-Thomas, by which we define K-theoretic invariants. We show that the partition function of such invariants reproduces the one studied by Pomoni-Yan-Zhang, and explicitly determine ...

2025

The Geometry of Double Nested Hilbert Schemes of Points on Curves

Sergej Monavari

Let C be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on C, a moduli space introduced by the third author in the context of BPS invariants of local curves and sheaf counting on Calabi-Y ...

AMER MATHEMATICAL SOC2025

A DONALDSON-THOMAS CREPANT RESOLUTION CONJECTURE ON CALABI-YAU 4-FOLDS

Sergej Monavari

Let G be a finite subgroup of SU(4) such that its elements have age at most one. In the first part of this paper, we define K-theoretic stable pair invariants on a crepant resolution of the affine quotient C4/G, and conjecture a closed formula for their ge ...

Amer Mathematical Soc2023