Marked relative invariants and GW/PT correspondences

DOI10.1016/j.aim.2023.109472arXiv2112.11949OpenAlexW4390894953MaRDI QIDQ6201175

Georg Oberdieck

Publication date: 20 February 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11949

zbMATH Keywords

Fano hypersurfacesK3 surfacesGromov-Witten theoryPandharipande-Thomas theoryGW/PT correspondence

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Cites Work

• Unnamed Item
• Unnamed Item
• Relative Hilbert scheme of points
• Descendent theory for stable pairs on toric 3-folds
• Gromov-Witten/pairs descendent correspondence for toric 3-folds
• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
• Stable logarithmic maps to Deligne-Faltings pairs I
• Good degeneration of Quot-schemes and coherent systems
• Virasoro constraints for target curves
• Relative virtual localization and vanishing of tautological classes of moduli spaces of curves
• Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
• Quantum cohomology of the Hilbert scheme of points in the plane
• The local Donaldson-Thomas theory of curves
• Gromov-Witten theory of \(A_{n}\)-resolutions
• Curve counting via stable pairs in the derived category
• A generalization of Fulton-MacPherson configuration spaces
• La conjecture de Weil. II
• Localization of virtual classes
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• A degeneration formula of GW-invariants
• Stable morphisms to singular schemes and relative stable morphisms.
• Gromov-Witten invariants of the Hilbert schemes of points of a \(K3\) surface
• A product formula for log Gromov-Witten invariants
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• Moduli spaces of weighted pointed stable curves.
• Hodge integrals and invariants of the unknot
• GW/PT descendent correspondence via vertex operators
• Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations
• Quasi-modular forms from mixed Noether-Lefschetz theory
• Configurations of points on degenerate varieties and properness of moduli spaces
• A topological view of Gromov-Witten theory
• Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
• Expanded Degenerations and Pairs
• Gromov-Witten/Pairs correspondence for the quintic 3-fold
• Quantum cohomology of the Hilbert scheme of points on 𝒜_{𝓃}-resolutions
• Curves on K 3 surfaces and modular forms
• Lectures on K3 Surfaces
• Reduced classes and curve counting on surfaces I: theory
• Donaldson–Thomas theory of 𝒜_n×P¹
• Logarithmic Gromov-Witten invariants
• The enumerative geometry of $K3$ surfaces and modular forms
• Quasimaps and stable pairs
• Logarithmic Gromov–Witten theory with expansions
• HIGHER GENUS GROMOV–WITTEN THEORY OF AND ASSOCIATED TO LOCAL CURVES
• Localizing virtual cycles by cosections
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
• The local Gromov-Witten theory of curves
• Gromov-Witten theory and Noether-Lefschetz theory
• Curves on K3 surfaces in divisibility 2
• New moduli spaces of pointed curves and pencils of flat connections.
• Gromov–Witten theory of complete intersections via nodal invariants

This page was built for publication: Marked relative invariants and GW/PT correspondences