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Integral counts of pseudo-holomorphic curves

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arxiv 1309.0585 v1 pith:SL54SKDP submitted 2013-09-03 math.SG math.DG

Brett Parker This is my paper · ORCID
classification math.SGmath.DG
keywords compactcurvesfukayamanifoldpseudo-holomorphicsymplecticciteclass
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In \cite{FOinteger}, Fukaya and Ono outlined a way of counting pseudo-holomorphic curves in a general compact symplectic manifold to obtain integer valued invariants. This paper contains the details of Fukaya and Ono's suggested construction for any compact symplectic manifold and a large class of exploded manifolds.

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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. Bordism and resolution of singularities

    math.AT 2024-12 conditional novelty 8.0 of 10

    The natural map from complex bordism to derived orbifold bordism splits, giving complex-cobordism-valued Gromov-Witten invariants for arbitrary closed symplectic manifolds.

  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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