Integrality of Gopakumar-Vafa invariants of toric Calabi-Yau threefolds

DOI10.2977/prims/1166642118zbMath1133.14314arXivmath/0504188OpenAlexW1996993343MaRDI QIDQ2471382

Yukiko Konishi

Publication date: 22 February 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504188

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (14)

Topological strings, quiver varieties, and Rogers-Ramanujan identities ⋮ A proof of N. Takahashi's conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence ⋮ On a conjecture by N. Takahashi on log mirror symmetry for the projective plane ⋮ FLOP INVARIANCE OF THE TOPOLOGICAL VERTEX ⋮ Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I ⋮ The quantum tropical vertex ⋮ Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds ⋮ On explicit formulae of LMOV invariants ⋮ A mathematical theory of the topological vertex ⋮ Scattering diagrams, sheaves, and curves ⋮ REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS ⋮ Quantum Barnes function as the partition function of the resolved conifold ⋮ Integrality structures in topological strings and quantum 2-functions ⋮ Unnamed Item

Cites Work

• BPS states of curves in Calabi-Yau 3-folds
• The topological vertex
• Relative Lefschetz Action and BPS State Counting
• Introduction to Toric Varieties. (AM-131)
• Handbook of Graph Theory

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