140 citations · 603 across the 27 of their papers we have counts for
31 papers
Refined Verlinde and Segre formula for Hilbert schemes
Lothar Göttsche, Anton Mellit
Let be the Hilbert scheme of points on a smooth projective surface . To a class correspond a tautological vector bundle on $\mathr…
Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants
Lothar Göttsche
We formulate conjectural blowup formulas for Segre and Verlinde numbers on moduli spaces of sheaves on projective surfaces with and . As applications we gi…
Vafa-Witten invariants, Ramanujan's continued fractions, and cosmic strings
L. Göttsche, M. Kool, T. Laarakker
We conjecture a structure formula for the Vafa-Witten partition function for surfaces with holomorphic 2-form. The conjecture is based on -duality and a structu…
Sheaves on surfaces and virtual invariants
L. Göttsche, M. Kool
Moduli spaces of stable sheaves on smooth projective surfaces are in general singular. Nonetheless, they carry a virtual class, which -- in analogy with the classical case of Hilbe…
Virtual Segre and Verlinde numbers of projective surfaces
L. Göttsche, M. Kool
Recently, Marian-Oprea-Pandharipande established (a generalization of) Lehn's conjecture for Segre numbers associated to Hilbert schemes of points on surfaces. Extending work of Jo…
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…