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arXiv · 2603.24256

Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex

Yannik Schuler
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Abstract

We conjecture the existence of almost integer invariants governing the all-genus equivariant Gromov-Witten theory of Calabi-Yau fivefolds with a torus action. We prove the conjecture for skeletal, locally anti-diagonal torus actions by establishing a vertex formalism evaluating the Gromov-Witten invariants via the topological vertex of Aganagic, Klemm, Marino and Vafa. We apply the formalism in several examples.

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Yannik Schuler. 2026-03-25. Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex. https://arxiv.org/abs/2603.24256

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