78 citations · 455 across the 33 of their papers we have counts for
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math.AG2018
Refined Vafa-Witten invariants and modularity
Lothar Göttsche, Martijn Kool
We conjecture a formula for the refined Vafa-Witten invariants of any smooth surface satisfying and . The unrefined formula c…
math.AG2018★ 7 cited
Counting zero-dimensional subschemes in higher dimensions
Yalong Cao, Martijn Kool
Consider zero-dimensional Donaldson-Thomas invariants of a toric threefold or toric Calabi-Yau fourfold. In the second case, invariants can be defined using a tautological insertio…
math.AG2018★ 16 cited
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
Lothar Göttsche, Martijn Kool
We conjecture a formula for the virtual elliptic genera of moduli spaces of rank 2 sheaves on minimal surfaces of general type. We express our conjecture in terms of the Igusa…