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Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants

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arxiv 1605.00577 v2 pith:3MEKVCAN submitted 2016-05-02 math.SG math.AGmath.DG

Brett Parker This is my paper · ORCID
classification math.SGmath.AGmath.DG
keywords formulaexplodedgluinggromov-witteninvariantsmanifoldsvideolecture
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Notes for a short lecture series, covering exploded manifolds, the moduli stack of curves in exploded manifolds, and a tropical gluing formula for Gromov-Witten invariants: a gluing formula providing a degeneration formula for Gromov-Witten invariants in normal-crossing degenerations. I gave the original lecture series in April 2016 at the Simons Center for Geometry and Physics at Stonybrook. Video of the lectures is available on the SCGP website, http://scgp.stonybrook.edu/video_portal/video.php?id=2595

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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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