Donaldson–Thomas theory of 𝒜n×P1

DOI10.1112/S0010437X09003972zbMath1188.14036OpenAlexW2963385090MaRDI QIDQ3642514

Davesh Maulik, Alexei Oblomkov

Publication date: 5 November 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x09003972

zbMATH Keywords

Donaldson-Thomas theoryloop algebrasresolution of quotient surface singularities.

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items

Quantum cohomology of the Hilbert scheme of points in the plane, Gromov-Witten invariants of the Hilbert schemes of points of a \(K3\) surface, Descendent theory for stable pairs on toric 3-folds, Gromov-Witten/Pairs correspondence for the quintic 3-fold, Orbifold Gromov-Witten theory of the symmetric product of \(\mathcal A_{r}\), Marked relative invariants and GW/PT correspondences, A-type quiver varieties and ADHM moduli spaces, Gromov-Witten/pairs descendent correspondence for toric 3-folds, GW/PT descendent correspondence via vertex operators, Donaldson-Thomas theory of \([\mathbb {C}^2/\mathbb {Z}_{n+1}\times \mathbb {P}^1\)], Gromov-Witten theory of \(A_{n}\)-resolutions, The 3-fold vertex via stable pairs, Gromov-Witten theory of \([\mathbb{C}^2/\mathbb{Z}_{n+1}\times\mathbb{P}^1\)]

Cites Work

• Gromov-Witten theory of \(A_{n}\)-resolutions
• Localization of virtual classes
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• A topological view of Gromov-Witten theory
• Quantum cohomology of the Hilbert scheme of points on 𝒜_{𝓃}-resolutions
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
• The local Gromov-Witten theory of curves