Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces

DOI10.1007/s00208-010-0542-2zbMath1221.14006arXivmath/0703717OpenAlexW2037826248MaRDI QIDQ532540

Wei-Ping Li, Jun Li

Publication date: 5 May 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703717

zbMATH Keywords

Hilbert schemesGromov-Witten invariantslocalization technique

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (7)

Extremal Gromov-Witten invariants of the Hilbert scheme of Points ⋮ Gromov–Witten invariants of Hilbert schemes of two points on elliptic surfaces ⋮ Localizing virtual cycles by cosections ⋮ Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms ⋮ 1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane ⋮ On the numerical rational connectedness of the Hilbert schemes of 2-points on rational surfaces ⋮ The Gromov–Witten invariants of the Hilbert schemes of points on surfaces with p_g > 0

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum cohomology of the Hilbert scheme of points in the plane
• Localization of virtual classes
• Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• Gromov-Witten invariants in algebraic geometry
• The intrinsic normal cone
• Orbifold cohomology for global quotients
• The cup product of Hilbert schemes for K3 surfaces
• Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
• Gromov-Witten invariants of the Hilbert scheme of 3-points on \(\mathbb{P}^2\)
• A new cohomology theory of orbifold
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• A structure theorem for the Gromov-Witten invariants of Kähler surfaces
• Orbifold cohomology of the symmetric product
• Sur l'anneau de cohomologie du schéma de Hilbert de
• Quantum cohomology of the Hilbert scheme of points on 𝒜_{𝓃}-resolutions
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

This page was built for publication: Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces