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Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds

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arxiv hep-th/0405083 v3 pith:MD2GFC5K submitted 2004-05-10 hep-th math.AG

Vincent Bouchard , Bogdan Florea , Marcos Marino This is my paper · ORCID
classification hep-thmath.AG
keywords calabi-yauorientifoldstopologicalamplitudesbottleschern-simonscomputecount
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We compute all loop topological string amplitudes on orientifolds of local Calabi-Yau manifolds, by using geometric transitions involving SO/Sp Chern-Simons theory, localization on the moduli space of holomorphic maps with involution, and the topological vertex. In particular we count Klein bottles and projective planes with any number of handles in some Calabi-Yau orientifolds.

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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. Monodromy defects in Chern-Simons theory and Holography

    hep-th 2026-07 accept novelty 8.0 of 10

    Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold...

  2. Racah matrices for the symmetric representation of the SO(5) group

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Explicit R and Racah matrices are given for the symmetric representation of SO(5) to compute Kauffman polynomials via a generalized Reshetikhin-Turaev construction.

  3. Torus knots in adjoint representation and Vogel's universality

    hep-th 2025-06 conditional novelty 6.0 of 10

    Universal adjoint invariants for T[4,n] torus knots are constructed via Vogel's universality, completing the T[4,n] case after previous T[2,n] and T[3,n] results.

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