52 citations · 193 across the 37 of their papers we have counts for
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Quantum cohomology of the Hilbert scheme of points on an elliptic surface
Georg Oberdieck, Aaron Pixton
We determine the quantum multiplication with divisor classes on the Hilbert scheme of points on an elliptic surface for all curve classes which are contracted by the indu…
Pandharipande-Thomas theory of elliptic threefolds, quasi-Jacobi forms and holomorphic anomaly equations
Georg Oberdieck, Maximilian Schimpf
Let be an elliptically fibered threefold satisfying . We conjecture that the -relative generating series of Pandharipande-Thomas invariants…
On the descendent Gromov-Witten theory of a K3 surface
Georg Oberdieck
We study the reduced descendent Gromov-Witten theory of K3 surfaces in primitive curve classes. We present a conjectural closed formula for the stationary theory, which generalizes…
Curve counting on the Enriques surface and the Klemm-Mariño formula
Georg Oberdieck
We determine the Gromov-Witten invariants of the local Enriques surfaces for all genera and curve classes and prove the Klemm-Mariño formula. In particular, we show that the genera…