Gopakumar–Vafa Invariants of $$\mathcal{O}(k)\oplus\mathcal{O}(-k-2)$$

We prove a closed formula for the leading Gopakumar–Vafa invariants of local Calabi–Yau threefolds of $$\mathcal{O}(k)\oplus\mathcal{O}(-k-2)\to \mathbb{P}^1$$ by the topological vertex. We also obtain some results that were not previously predicted.

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Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2025-09-01
DOI
https://doi.org/10.1134/s0081543825601364
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

Gopakumar–Vafa Invariants of $$\mathcal{O}(k)\oplus\mathcal{O}(-k-2)$$

Shuai Guo, Ting Zhang
Proceedings of the Steklov Institute of Mathematics
Geometry and complex manifolds
article

Gopakumar–Vafa Invariants of $$\mathcal{O}(k)\oplus\mathcal{O}(-k-2)$$

Shuai Guo, Ting Zhang
article en

Abstract

We prove a closed formula for the leading Gopakumar–Vafa invariants of local Calabi–Yau threefolds of $$\mathcal{O}(k)\oplus\mathcal{O}(-k-2)\to \mathbb{P}^1$$ by the topological vertex. We also obtain some results that were not previously predicted.

Proceedings of the Steklov Institute of MathematicsVol. 330(1)
Peking University (CN)
Openalex Percentile: Top 17%
Geometry and complex manifolds
DOISourceOpenAlex
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Gopakumar–Vafa Invariants of $\mathcal{O}(k)\oplus\mathcal{O}(-k-2)$ — Shuai Guo, Ting Zhang · Proceedings of the Steklov Institute of Mathematics (2025) | TGRS Research Map | TGRS