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Frame ambiguity in Open Gromov-Witten invariants

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arxiv 1003.4684 v2 pith:YJCGNS2T submitted 2010-03-24 math.SG

classification math.SG
keywords invariantsframegromov-wittenlagrangianopenaccordambiguityapplies
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abstract

We consider Open Gromov-Witten invariants for noncompact Calabi-Yau in the case the Lagrangian has the topology of $\R^2 \times S^1$. The definition of the invariant involves the choice of a frame for the Lagrangian, in accord with string theory. Our result applies to the examples arising from Large $N$-duality. In particular it leads to knot and link invariants counting holomorphic curves.

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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. 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.

  2. Quantum Master Equation and Open Gromov-Witten theory

    math.SG 2024-12 conditional novelty 5.0 of 10

    The higher-genus open-closed Gromov-Witten potential is constructed and shown to solve the quantum master equation up to quantum master isotopy.

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