78 citations · 455 across the 33 of their papers we have counts for
4 papers · 1 filter
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…
Twisted sheaves and Vafa-Witten theory
Y. Jiang, M. Kool
The Vafa-Witten partition function, which virtually counts Higgs pairs on a projective surface , was mathematically defined by Tanaka-Thomas. On the Langlands d…
Stable pair invariants of local Calabi-Yau 4-folds
Yalong Cao, Martijn Kool, Sergej Monavari
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-fold using Gromov-Witten theory. Recently, Cao-Maulik-Toda proposed a conjectural descript…