Pith. sign in

REVIEW 6 cited by

Mirror Symmetry, D-Branes and Counting Holomorphic Discs

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/0012041 v1 pith:L2D44TJ2 submitted 2000-12-05 hep-th math.AG

Mirror Symmetry, D-Branes and Counting Holomorphic Discs

classification hep-th math.AG
keywords mirrorholomorphiccountinglagrangiansomesymmetryabel-jacobialready
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties of the mirror geometry. This transforms the counting of holomorphic disc instantons ending on the Lagrangian submanifold to the classical Abel-Jacobi map on the mirror. We recover some results already anticipated as well as obtain some highly non-trivial new predictions.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

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

  1. Monodromy defects in Chern-Simons theory and Holography

    hep-th 2026-07 accept novelty 8.0

    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. Meromorphic amplitudes from 3-dimensional supersymmetry

    hep-th 2026-06 unverdicted novelty 7.0

    Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.

  3. D2-brane probes of non-toric cDV threefolds via monopole superpotentials

    hep-th 2026-04 unverdicted novelty 7.0

    D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collaps...

  4. Augmentation varieties and disk potentials III

    math.SG 2024-01 unverdicted novelty 7.0

    Establishes equality between augmentation varieties and disk potential zero sets for Legendrian covers of monotone tori in circle-fibered contact manifolds, with applications to non-isotopy and non-fillability.

  5. Universal Correlators on Exponentially Ramified Spectral Curves

    math-ph 2026-07 conditional novelty 6.0

    Generalized topological recursion extends to spectral curves with essential singularities by replacing residues at the essential point with residues at ordinary meromorphic points.

  6. Non-Perturbative Real Topological Strings

    hep-th 2023-09 unverdicted novelty 6.0

    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.