Virasoro conjecture for the stable pairs descendent theory of simply connected 3‐folds (with applications to the Hilbert scheme of points of a surface)

DOI10.1112/jlms.12571zbMath1523.14094arXiv2008.13746OpenAlexW3081885902WikidataQ113788545 ScholiaQ113788545MaRDI QIDQ6133951

Miguel Moreira

Publication date: 21 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13746

zbMATH Keywords

Virasoro conjectureGromov-Witten theorystable pairsHilbert scheme of pointsDonaldson-Thomas theoryvirtual fundamental classGW/PT correspondence

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (2)

Virasoro constraints for moduli of sheaves and vertex algebras ⋮ Virasoro constraints for moduli spaces of sheaves on surfaces

Cites Work

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• Gromov-Witten/pairs descendent correspondence for toric 3-folds
• Curve counting via stable pairs in the derived category
• Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
• GW/PT descendent correspondence via vertex operators
• 3264 and All That
• Stable pairs and BPS invariants
• Descendents for stable pairs on 3-folds
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II

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