52 citations · 193 across the 37 of their papers we have counts for
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Marked relative invariants and GW/PT correspondences
Georg Oberdieck
We introduce marked relative Pandharipande-Thomas (PT) invariants for a pair of a smooth projective threefold and a smooth divisor. These invariants are defined by integrat…
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes
Georg Oberdieck
Let be a K3 surface. We study the reduced Donaldson-Thomas theory of the cap by a second cosection argument. We obtain four main results:…
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds
Georg Oberdieck, Jieao Song, Claire Voisin
We prove that the complex cobordism class of any hyper-Kähler manifold of dimension is a unique combination with rational coefficients of classes of products of punctual Hilbe…
Gromov-Witten theory and Noether-Lefschetz theory for holomorphic-symplectic varieties
Georg Oberdieck
We use Noether-Lefschetz theory to study the reduced Gromov--Witten invariants of a holomorphic-symplectic variety of -type. This yields strong evidence for a new conject…