A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds

DOI10.1007/s00220-007-0348-6zbMath1137.14029arXivmath/0410540OpenAlexW2014718335WikidataQ123130683 ScholiaQ123130683MaRDI QIDQ2471785

Pan Peng

Publication date: 18 February 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410540

zbMATH Keywords

Gromov-Witten invariantGopakumar-Vafa invariantGopakumar-Vafa conjecturelocal toric Calabi-Yau variety

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli of curves (algebraic) (14H10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (8)

Topological strings, quiver varieties, and Rogers-Ramanujan identities ⋮ On a conjecture by N. Takahashi on log mirror symmetry for the projective plane ⋮ Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I ⋮ Local Gromov-Witten invariants and tautological sheaves on Hilbert schemes ⋮ On explicit formulae of LMOV invariants ⋮ A mathematical theory of the topological vertex ⋮ Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration ⋮ Integrality structures in topological strings and quantum 2-functions

Cites Work

• Unnamed Item
• Unnamed Item
• Topological gravity as large \(N\) topological gauge theory
• Instanton counting and Chern-Simons theory
• All loop topological string amplitudes from Chern-Simons theory
• The topological vertex
• A formula of two-partition Hodge integrals
• Local mirror symmetry: Calculations and interpretations
• On the gauge theory/geometry correspondence
• M-theory, topological strings and spinning black holes

This page was built for publication: A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds