52 citations · 193 across the 37 of their papers we have counts for
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Lagrangian planes in hyperkähler varieties of -type
Georg Oberdieck
Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperkähler variety of -type in terms of the class of a line on it. We give a proof of…
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface
Georg Oberdieck
We conjecture that the generating series of Gromov-Witten invariants of the Hilbert schemes of points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly e…
Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds
Yalong Cao, Georg Oberdieck, Yukinobu Toda
Using reduced Gromov-Witten theory, we define new invariants which capture the enumerative geometry of curves on holomorphic symplectic 4-folds. The invariants are analogous to the…
Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds
Yalong Cao, Georg Oberdieck, Yukinobu Toda
As an analogy to Gopakumar-Vafa conjecture on Calabi-Yau 3-folds, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-fold using Gromov-Witten theory.…
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on Surfaces
Georg Oberdieck
We interprete results of Markman on monodromy operators as a universality statement for descendent integrals over moduli spaces of stable sheaves on surfaces. This yields effe…