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Flop invariance of the topological vertex

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arxiv math/0601352 v2 pith:UORLMODV submitted 2006-01-14 math.AG hep-th

Yukiko Konishi , Satoshi Minabe This is my paper · ORCID
classification math.AGhep-th
keywords calabi-yauthreefoldstopologicaltoricvertexanalysiscombinatorialfans
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We prove transformation formulae for generating functions of Gromov-Witten invariants on general toric Calabi-Yau threefolds under flops. Our proof is based on a combinatorial identity on the topological vertex and analysis of fans of toric Calabi-Yau threefolds.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weyl symmetry in $(D_4,D_4)$ conformal matter on a circle

    hep-th 2025-05 conditional novelty 7.0 of 10

    Rank N (D4,D4) conformal matter on a circle is argued to have affine E8 Weyl symmetry in its brane webs, with 64 distinct sets of invariant Coulomb branch parameters for N ≥ 2.

  2. 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.

  3. Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors

    hep-th 2026-07 conditional novelty 6.0 of 10

    The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).

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