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Holomorphic curves in exploded manifolds: Compactness

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arxiv 0911.2241 v2 pith:VTPM2LUO submitted 2009-11-11 math.SG

Brett Parker This is my paper · ORCID
classification math.SG
keywords explodedmanifoldscompactnesscurvesholomorphicallowsanalysisarxiv
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This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This result together with the analysis in arXiv:0902.0087 allows the definition of Gromov Witten invariants of these exploded manifolds.

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  1. Gromov-Witten invariants of log Calabi-Yau 3-folds are holomorphic lagrangian correspondences

    math.AG 2025-06 conditional novelty 7.0 of 10

    Log Gromov-Witten invariants of Calabi-Yau 3-folds are canonically represented by holomorphic lagrangian cycles in a new Weinstein-style category, with a conjectural unitary bridge to Donaldson-Thomas invariants.

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