78 citations · 455 across the 33 of their papers we have counts for
Showing 2017 · math.AGShow all
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math.AG2017★ 50 cited
Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds
Yalong Cao, Martijn Kool
We study Hilbert schemes of points on a smooth projective Calabi-Yau 4-fold . We define invariants by integrating the Euler class of a tautological vector bundle…
math.AG2017★ 1 cited
Higher rank sheaves on threefolds and functional equations
Amin Gholampour, Martijn Kool
We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective threefold. The singularity set of a torsion free sheaf is the locus where the sheaf i…
math.AG2017★ 31 cited
Virtual refinements of the Vafa-Witten formula
Lothar Göttsche, Martijn Kool
We conjecture a formula for the generating function of virtual -genera of moduli spaces of rank 2 sheaves on arbitrary surfaces with holomorphic 2-form. Specializing the conje…