The 3-fold vertex via stable pairs

DOI10.2140/gt.2009.13.1835zbMath1195.14073arXiv0709.3823OpenAlexW2016200805MaRDI QIDQ1016791

Richard P. Thomas, Rahul Pandharipande

Publication date: 14 May 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3823

zbMATH Keywords

curveGromov-Wittentoricthreefold

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20) (3)-folds (14J30)

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Cites Work

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• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
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• Curve counting via stable pairs in the derived category
• Localization of virtual classes
• The intrinsic normal cone
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Donaldson–Thomas theory of 𝒜_n×P¹
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
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