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Correspondences in enumerative geometry: Hilbert schemes, K3 surfaces and modular forms

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Publications

Stable pairs on local curves and Bethe roots (opens in new window)

Author(s): Maximilian Schimpf
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2409.09508

Towards refined curve counting on the Enriques surface I: K-theoretic refinements (opens in new window)

Author(s): Georg Oberdieck
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2407.21318

On the descendent Gromov-Witten theory of a K3 surface (opens in new window)

Author(s): Oberdieck, Georg
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.09074

Towards refined curve counting on the Enriques surface II: Motivic refinements (opens in new window)

Author(s): Georg Oberdieck
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arXiv.2408.02616

Quantum cohomology of the Hilbert scheme of points on an elliptic surface (opens in new window)

Author(s): Oberdieck, Georg; Pixton, Aaron
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2312.13188

Curve counting on the Enriques surface and the Klemm-Mariño formula (opens in new window)

Author(s): Oberdieck, Georg
Published in: JEMS (to appear), 2023
Publisher: JEMS
DOI: 10.48550/ARXIV.2305.11115

Pandharipande-Thomas theory of elliptic threefolds, quasi-Jacobi forms and holomorphic anomaly equations (opens in new window)

Author(s): Oberdieck, Georg; Schimpf, Maximilian
Published in: NO JOURNAL TITLE, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.09652

Refined curve counting with descendants and quantum mirrors (opens in new window)

Author(s): Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arXiv.2502.17236

On the descendent Gromov–Witten theory of a K3 surface (opens in new window)

Author(s): Georg Oberdieck
Published in: Portugaliae Mathematica, Issue 82, 2025, ISSN 0032-5155
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/PM/2143

Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes (opens in new window)

Author(s): Georg Oberdieck
Published in: Geometry & Topology, Issue 28, 2024, ISSN 1364-0380
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/gt.2024.28.3221

Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface (opens in new window)

Author(s): Georg Oberdieck
Published in: Geometry & Topology, Issue 28, 2024, ISSN 1364-0380
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/gt.2024.28.3779

Curve counting on the Enriques surface and the Klemm–Mariño formula (opens in new window)

Author(s): Georg Oberdieck
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/JEMS/1639

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