Georg Oberdieck

most citedMarked relative invariants and GW/PT correspondences

2 citations · 2 across the 2 of their papers we have counts for

collaborators

5 papers

math.AG2024

Towards refined curve counting on the Enriques surface II: Motivic refinements

Georg Oberdieck

We study the motivic Pandharipande-Thomas invariants of the Enriques Calabi-Yau threefolds in fiber curve classes by basic computations and analysis of a wallcrossing formula of To…

math.AG2024

Towards refined curve counting on the Enriques surface I: K-theoretic refinements

Georg Oberdieck

We conjecture an explicit formula for the $K$ -theoretically refined Vafa-Witten invariants of the Enriques surface. By a wall-crossing argument the conjecture is equivalent to a ne…

math.AG2023

Pandharipande-Thomas theory of elliptic threefolds, quasi-Jacobi forms and holomorphic anomaly equations

Georg Oberdieck, Maximilian Schimpf

Let $π : X \to B$ be an elliptically fibered threefold satisfying $c_{3} (T_{X} \otimes ω_{X}) = 0$ . We conjecture that the $π$ -relative generating series of Pandharipande-Thomas invariants…

math.AG2021★ 2 cited

Marked relative invariants and GW/PT correspondences

Georg Oberdieck

We introduce marked relative Pandharipande-Thomas (PT) invariants for a pair $(X, D)$ of a smooth projective threefold and a smooth divisor. These invariants are defined by integrat…

math.AG2014

Curve counting on K3 x E, the Igusa cusp form chi_{10}, and descendent integration

G. Oberdieck, R. Pandharipande

Let S be a nonsingular projective K3 surface. Motivated by the study of the Gromov-Witten theory of the Hilbert scheme of points of S, we conjecture a formula for the Gromov-Witten…