Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa Invariants

Yukiko Konishi

Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa Invariants

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arxiv hep-th/0312090 v2 pith:IHPC5XNT submitted 2003-12-09 hep-th

Yukiko Konishi This is my paper · ORCID

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keywords amplitudesasymptoticcalabi-yauformsgaugegopakumar-vafainstantoninvariants

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We calculate the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental hypermultiplets by using the method of the geometric transition and show that they reproduce Nekrasov's formulas for instanton counting. We also determine the asymptotic forms of the Gopakumar-Vafa invariants of the Calabi-Yau threefolds including those at higher genera from instanton amplitudes of the gauge theory.

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BPS Invariants for Generalized Toric Calabi-Yau Threefolds
hep-th 2026-07 conditional novelty 6.0 of 10

Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.

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