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math.AG2019★ 1 cited
Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces
Lothar Göttsche
We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for…
math.AG2019★ 12 cited
Verlinde formulae on complex surfaces: K-theoretic invariants
L. Göttsche, M. Kool, R. A. Williams
We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli…