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August 12, 2026SciPost PhysicsOpen Access

Revisiting the quantum geometry of torus-fibered Calabi-Yau threefolds

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Authors

BPBoris PiolineTSThorsten Schimannek

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Overview

Randomized trial investigates modular properties of topological string amplitudes in Calabi-Yau geometries, suggesting deeper connections.

Key Points

  • This work aims to establish connections between modularity properties of topological string amplitudes and wave-function properties of the partition function.
  • Introduced a variant of the topological string partition function Z_top that is holomorphic and modular covariant.
  • Analyzed the generating series of Gopakumar-Vafa invariants and contrasted them with Donaldson-Thomas indices.
  • Provided a comprehensive analysis and tabulation of calabi-yau threefolds fibered over del Pezzo surfaces.
  • The quasimodularity of the generating series of Gopakumar-Vafa invariants aligns with the expected mock-modular behavior of Donaldson-Thomas indices.
  • Identified new examples of Calabi-Yau threefolds that extend beyond traditional toric geometry.
  • Showed the equivalence of modular properties to the wave-function property under relative conifold monodromy.

Cite This Study

Pioline et al. (2026) studied this question.

synapsesocial.com/papers/6a7c203e06a85aed514b71dehttps://doi.org/10.21468/scipostphys.21.2.037
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