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Open Gromov-Witten theory on Calabi-Yau three-folds II

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arxiv 0908.0393 v2 pith:X4ME4EK5 submitted 2009-08-04 math.SG

classification math.SG
keywords gromov-wittenopencalabi-yaupotentialtheorythree-foldsconstructcritical
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We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. In this paper we construct the Open Gromov-Witten potential. The evaluation of the potential on its critical points leads to numerical invariants.

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Cited by 2 Pith papers

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

  1. Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.

  2. Quantum Master Equation and Open Gromov-Witten Theory 2

    math.SG 2024-12 reject novelty 6.0 of 10

    The paper defines the non-abelian open Gromov-Witten potential and derives a quantum master equation for it, conditional on auxiliary constructions from the author's companion papers.

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