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Ghost bubble censorship

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arxiv 2212.05835 v1 pith:ZG3KQWJN submitted 2022-12-12 math.SG

classification math.SG
keywords componentholomorphicsomeapproximatelyattachingbehaviorbubblecensorship
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When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic.

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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. The skein valued mirror of the topological vertex

    math.SG 2024-12 conditional novelty 8.0 of 10

    Holomorphic curve counts in C3 with toric Lagrangian boundary obey skein operator equations whose unique solution is the topological vertex.

  2. Reduced Gromov-Witten invariants without ghost bubble censorship

    math.SG 2026-04 unverdicted novelty 7.0 of 10

    Defines all-genus reduced Gromov-Witten invariants of symplectic manifolds via effectively supported multivalued perturbations on derived orbifold/Kuranishi charts, bypassing ghost bubble censorship.

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