Virasoro constraints for stable pairs on toric threefolds

DOI10.1017/fmp.2022.4zbMath1505.14115arXiv2008.12514OpenAlexW4294791679WikidataQ128992845 ScholiaQ128992845MaRDI QIDQ5106101

Miguel Moreira, Andrei Okounkov, Alexei Oblomkov, Rahul Pandharipande

Publication date: 16 September 2022

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12514

zbMATH Keywords

Virasoro constraintsstable pairstoric threefolds

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Virasoro constraints for moduli of sheaves and vertex algebras ⋮ GW/PT descendent correspondence via vertex operators ⋮ Virasoro constraints for moduli spaces of sheaves on surfaces

Cites Work

• Descendent theory for stable pairs on toric 3-folds
• The structure of 2D semi-simple field theories
• Gromov-Witten/pairs descendent correspondence for toric 3-folds
• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
• Virasoro constraints for target curves
• Curve counting via stable pairs in the derived category
• Intersection theory on the moduli space of curves and the matrix Airy function
• Localization of virtual classes
• Quantum cohomology and Virasoro algebra
• The intrinsic normal cone
• Virasoro constraints and the Chern classes of the Hodge bundle
• The equivariant Toda lattice
• Hodge integrals and Gromov-Witten theory
• GW/PT descendent correspondence via vertex operators
• 13/2 ways of counting curves
• Gromov-Witten/Pairs correspondence for the quintic 3-fold
• Curve counting theories via stable objects I. DT/PT correspondence
• Hall algebras and curve-counting invariants
• Notes on stable maps and quantum cohomology
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Descendents on local curves: rationality
• COHOMOLOGICAL FIELD THEORY CALCULATIONS
• Descendents on local curves: Stationary theory
• Convergence of quantum cohomology by quantum Lefschetz
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
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