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Polynomial Structure of the (Open) Topological String Partition Function

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arxiv 0708.2886 v2 pith:IY7VHZ5O submitted 2007-08-21 hep-th

M. Alim , J.D. Laenge This is my paper · ORCID
classification hep-th
keywords functionpartitionstringtopologicalopenpolynomialquinticresults
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In this paper we show that the polynomial structure of the topological string partition function found by Yamaguchi and Yau for the quintic holds for an arbitrary Calabi-Yau manifold with any number of moduli. Furthermore, we generalize these results to the open topological string partition function as discussed recently by Walcher and reproduce his results for the real quintic.

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Cited by 5 Pith papers

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

  1. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific D...

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    Topological string partition function on CY threefolds factors into conifold terms powered by sheaf invariants, enabling non-perturbative Borel-resummed expression whose jumps are controlled by genus-zero GV invariant...

  3. Large Order Enumerative Geometry, Black Holes and Black Rings

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    Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT...

  4. Non-Perturbative Real Topological Strings

    hep-th 2023-09 unverdicted novelty 6.0 of 10

    Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.

  5. Modular resurgence of topological string

    hep-th 2026-07 unverdicted novelty 5.0 of 10

    Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

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